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Finding the Fourth Proportional to 497.68, 744.88 and 315.20

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Solution

The fourth proportional to 497.68, 744.88 and 315.20 is: 471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.68 : 744.88 = 315.20 : x
  2. Step 2: Convert to fraction form
    497.68/744.88 = 315.20/x
  3. Step 3: Cross multiply
    497.68x = 744.88 × 315.20
  4. Step 4: Simplify right side
    497.68x = 234,786.18
  5. Step 5: Solve for x
    x = 234,786.18/497.68
  6. Step 6: Final answer
    x = 471.76

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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.