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Finding the Fourth Proportional to 498.42, 688.47 and 387.72

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Solution

The fourth proportional to 498.42, 688.47 and 387.72 is: 535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.42 : 688.47 = 387.72 : x
  2. Step 2: Convert to fraction form
    498.42/688.47 = 387.72/x
  3. Step 3: Cross multiply
    498.42x = 688.47 × 387.72
  4. Step 4: Simplify right side
    498.42x = 266,933.59
  5. Step 5: Solve for x
    x = 266,933.59/498.42
  6. Step 6: Final answer
    x = 535.56

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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.