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Finding the Fourth Proportional to 623.68, 861.60 and 546.88

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Solution

The fourth proportional to 623.68, 861.60 and 546.88 is: 755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.68 : 861.60 = 546.88 : x
  2. Step 2: Convert to fraction form
    623.68/861.60 = 546.88/x
  3. Step 3: Cross multiply
    623.68x = 861.60 × 546.88
  4. Step 4: Simplify right side
    623.68x = 471,191.81
  5. Step 5: Solve for x
    x = 471,191.81/623.68
  6. Step 6: Final answer
    x = 755.50

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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.