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Finding the Fourth Proportional to 584.60, 875.22 and 497.43

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Solution

The fourth proportional to 584.60, 875.22 and 497.43 is: 744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.60 : 875.22 = 497.43 : x
  2. Step 2: Convert to fraction form
    584.60/875.22 = 497.43/x
  3. Step 3: Cross multiply
    584.60x = 875.22 × 497.43
  4. Step 4: Simplify right side
    584.60x = 435,360.68
  5. Step 5: Solve for x
    x = 435,360.68/584.60
  6. Step 6: Final answer
    x = 744.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.