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Finding the Fourth Proportional to 623.93, 932.01 and 461.93

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Solution

The fourth proportional to 623.93, 932.01 and 461.93 is: 690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.93 : 932.01 = 461.93 : x
  2. Step 2: Convert to fraction form
    623.93/932.01 = 461.93/x
  3. Step 3: Cross multiply
    623.93x = 932.01 × 461.93
  4. Step 4: Simplify right side
    623.93x = 430,523.38
  5. Step 5: Solve for x
    x = 430,523.38/623.93
  6. Step 6: Final answer
    x = 690.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.