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Finding the Fourth Proportional to 623.11, 932.84 and 461.52

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Solution

The fourth proportional to 623.11, 932.84 and 461.52 is: 690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.11 : 932.84 = 461.52 : x
  2. Step 2: Convert to fraction form
    623.11/932.84 = 461.52/x
  3. Step 3: Cross multiply
    623.11x = 932.84 × 461.52
  4. Step 4: Simplify right side
    623.11x = 430,524.32
  5. Step 5: Solve for x
    x = 430,524.32/623.11
  6. Step 6: Final answer
    x = 690.93

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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.