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Finding the Fourth Proportional to 655.08, 902.91 and 497.53

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Solution

The fourth proportional to 655.08, 902.91 and 497.53 is: 685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.08 : 902.91 = 497.53 : x
  2. Step 2: Convert to fraction form
    655.08/902.91 = 497.53/x
  3. Step 3: Cross multiply
    655.08x = 902.91 × 497.53
  4. Step 4: Simplify right side
    655.08x = 449,224.81
  5. Step 5: Solve for x
    x = 449,224.81/655.08
  6. Step 6: Final answer
    x = 685.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.