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Finding the Fourth Proportional to 582.20, 874.10 and 460.60

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Solution

The fourth proportional to 582.20, 874.10 and 460.60 is: 691.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.20 : 874.10 = 460.60 : x
  2. Step 2: Convert to fraction form
    582.20/874.10 = 460.60/x
  3. Step 3: Cross multiply
    582.20x = 874.10 × 460.60
  4. Step 4: Simplify right side
    582.20x = 402,610.46
  5. Step 5: Solve for x
    x = 402,610.46/582.20
  6. Step 6: Final answer
    x = 691.53

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