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Finding the Fourth Proportional to 596.35, 822.62 and 419.24

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Solution

The fourth proportional to 596.35, 822.62 and 419.24 is: 578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.35 : 822.62 = 419.24 : x
  2. Step 2: Convert to fraction form
    596.35/822.62 = 419.24/x
  3. Step 3: Cross multiply
    596.35x = 822.62 × 419.24
  4. Step 4: Simplify right side
    596.35x = 344,873.69
  5. Step 5: Solve for x
    x = 344,873.69/596.35
  6. Step 6: Final answer
    x = 578.31

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.