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Finding the Fourth Proportional to 624.23, 935.42 and 578.66

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Solution

The fourth proportional to 624.23, 935.42 and 578.66 is: 867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.23 : 935.42 = 578.66 : x
  2. Step 2: Convert to fraction form
    624.23/935.42 = 578.66/x
  3. Step 3: Cross multiply
    624.23x = 935.42 × 578.66
  4. Step 4: Simplify right side
    624.23x = 541,282.57
  5. Step 5: Solve for x
    x = 541,282.57/624.23
  6. Step 6: Final answer
    x = 867.13

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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.