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Finding the Fourth Proportional to 432.19, 596.32 and 362.53

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Solution

The fourth proportional to 432.19, 596.32 and 362.53 is: 500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.19 : 596.32 = 362.53 : x
  2. Step 2: Convert to fraction form
    432.19/596.32 = 362.53/x
  3. Step 3: Cross multiply
    432.19x = 596.32 × 362.53
  4. Step 4: Simplify right side
    432.19x = 216,183.89
  5. Step 5: Solve for x
    x = 216,183.89/432.19
  6. Step 6: Final answer
    x = 500.21

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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.