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Finding the Fourth Proportional to 623.64, 935.46 and 460.82

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Solution

The fourth proportional to 623.64, 935.46 and 460.82 is: 691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.64 : 935.46 = 460.82 : x
  2. Step 2: Convert to fraction form
    623.64/935.46 = 460.82/x
  3. Step 3: Cross multiply
    623.64x = 935.46 × 460.82
  4. Step 4: Simplify right side
    623.64x = 431,078.68
  5. Step 5: Solve for x
    x = 431,078.68/623.64
  6. Step 6: Final answer
    x = 691.23

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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.