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Finding the Fourth Proportional to 499.84, 747.75 and 432.09

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Solution

The fourth proportional to 499.84, 747.75 and 432.09 is: 646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.84 : 747.75 = 432.09 : x
  2. Step 2: Convert to fraction form
    499.84/747.75 = 432.09/x
  3. Step 3: Cross multiply
    499.84x = 747.75 × 432.09
  4. Step 4: Simplify right side
    499.84x = 323,096.92
  5. Step 5: Solve for x
    x = 323,096.92/499.84
  6. Step 6: Final answer
    x = 646.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.