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Finding the Fourth Proportional to 655.61, 905.16 and 456.86

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Solution

The fourth proportional to 655.61, 905.16 and 456.86 is: 630.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.61 : 905.16 = 456.86 : x
  2. Step 2: Convert to fraction form
    655.61/905.16 = 456.86/x
  3. Step 3: Cross multiply
    655.61x = 905.16 × 456.86
  4. Step 4: Simplify right side
    655.61x = 413,526.87
  5. Step 5: Solve for x
    x = 413,526.87/655.61
  6. Step 6: Final answer
    x = 630.76

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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.