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Finding the Fourth Proportional to 655.20, 903.54 and 497.84

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Solution

The fourth proportional to 655.20, 903.54 and 497.84 is: 686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.20 : 903.54 = 497.84 : x
  2. Step 2: Convert to fraction form
    655.20/903.54 = 497.84/x
  3. Step 3: Cross multiply
    655.20x = 903.54 × 497.84
  4. Step 4: Simplify right side
    655.20x = 449,819.45
  5. Step 5: Solve for x
    x = 449,819.45/655.20
  6. Step 6: Final answer
    x = 686.54

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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.