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Finding the Fourth Proportional to 497.52, 747.56 and 450.16

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Solution

The fourth proportional to 497.52, 747.56 and 450.16 is: 676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.52 : 747.56 = 450.16 : x
  2. Step 2: Convert to fraction form
    497.52/747.56 = 450.16/x
  3. Step 3: Cross multiply
    497.52x = 747.56 × 450.16
  4. Step 4: Simplify right side
    497.52x = 336,521.61
  5. Step 5: Solve for x
    x = 336,521.61/497.52
  6. Step 6: Final answer
    x = 676.40

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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.