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Finding the Fourth Proportional to 596.16, 822.42 and 438.75

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Solution

The fourth proportional to 596.16, 822.42 and 438.75 is: 605.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.16 : 822.42 = 438.75 : x
  2. Step 2: Convert to fraction form
    596.16/822.42 = 438.75/x
  3. Step 3: Cross multiply
    596.16x = 822.42 × 438.75
  4. Step 4: Simplify right side
    596.16x = 360,836.78
  5. Step 5: Solve for x
    x = 360,836.78/596.16
  6. Step 6: Final answer
    x = 605.27

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Half scale
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Double scale
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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.