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Finding the Fourth Proportional to 596.07, 822.56 and 347.49

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Solution

The fourth proportional to 596.07, 822.56 and 347.49 is: 479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.07 : 822.56 = 347.49 : x
  2. Step 2: Convert to fraction form
    596.07/822.56 = 347.49/x
  3. Step 3: Cross multiply
    596.07x = 822.56 × 347.49
  4. Step 4: Simplify right side
    596.07x = 285,829.64
  5. Step 5: Solve for x
    x = 285,829.64/596.07
  6. Step 6: Final answer
    x = 479.52

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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.