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Finding the Fourth Proportional to 621.60, 931.60 and 582.72

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Solution

The fourth proportional to 621.60, 931.60 and 582.72 is: 873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.60 : 931.60 = 582.72 : x
  2. Step 2: Convert to fraction form
    621.60/931.60 = 582.72/x
  3. Step 3: Cross multiply
    621.60x = 931.60 × 582.72
  4. Step 4: Simplify right side
    621.60x = 542,861.95
  5. Step 5: Solve for x
    x = 542,861.95/621.60
  6. Step 6: Final answer
    x = 873.33

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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.