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Finding the Fourth Proportional to 432.16, 596.48 and 284.52

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Solution

The fourth proportional to 432.16, 596.48 and 284.52 is: 392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.16 : 596.48 = 284.52 : x
  2. Step 2: Convert to fraction form
    432.16/596.48 = 284.52/x
  3. Step 3: Cross multiply
    432.16x = 596.48 × 284.52
  4. Step 4: Simplify right side
    432.16x = 169,710.49
  5. Step 5: Solve for x
    x = 169,710.49/432.16
  6. Step 6: Final answer
    x = 392.70

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