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Finding the Fourth Proportional to 623.60, 861.04 and 537.20

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Solution

The fourth proportional to 623.60, 861.04 and 537.20 is: 741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.60 : 861.04 = 537.20 : x
  2. Step 2: Convert to fraction form
    623.60/861.04 = 537.20/x
  3. Step 3: Cross multiply
    623.60x = 861.04 × 537.20
  4. Step 4: Simplify right side
    623.60x = 462,550.69
  5. Step 5: Solve for x
    x = 462,550.69/623.60
  6. Step 6: Final answer
    x = 741.74

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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.