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Finding the Fourth Proportional to 623.49, 935.84 and 460.68

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Solution

The fourth proportional to 623.49, 935.84 and 460.68 is: 691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.49 : 935.84 = 460.68 : x
  2. Step 2: Convert to fraction form
    623.49/935.84 = 460.68/x
  3. Step 3: Cross multiply
    623.49x = 935.84 × 460.68
  4. Step 4: Simplify right side
    623.49x = 431,115.79
  5. Step 5: Solve for x
    x = 431,115.79/623.49
  6. Step 6: Final answer
    x = 691.46

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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.