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Finding the Fourth Proportional to 584.60, 875.97 and 475.85

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Solution

The fourth proportional to 584.60, 875.97 and 475.85 is: 713.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.60 : 875.97 = 475.85 : x
  2. Step 2: Convert to fraction form
    584.60/875.97 = 475.85/x
  3. Step 3: Cross multiply
    584.60x = 875.97 × 475.85
  4. Step 4: Simplify right side
    584.60x = 416,830.32
  5. Step 5: Solve for x
    x = 416,830.32/584.60
  6. Step 6: Final answer
    x = 713.02

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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.