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Finding the Fourth Proportional to 432.29, 596.21 and 307.85

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Solution

The fourth proportional to 432.29, 596.21 and 307.85 is: 424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.29 : 596.21 = 307.85 : x
  2. Step 2: Convert to fraction form
    432.29/596.21 = 307.85/x
  3. Step 3: Cross multiply
    432.29x = 596.21 × 307.85
  4. Step 4: Simplify right side
    432.29x = 183,538.73
  5. Step 5: Solve for x
    x = 183,538.73/432.29
  6. Step 6: Final answer
    x = 424.58

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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.