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Finding the Fourth Proportional to 624.04, 935.80 and 258.73

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Solution

The fourth proportional to 624.04, 935.80 and 258.73 is: 387.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.04 : 935.80 = 258.73 : x
  2. Step 2: Convert to fraction form
    624.04/935.80 = 258.73/x
  3. Step 3: Cross multiply
    624.04x = 935.80 × 258.73
  4. Step 4: Simplify right side
    624.04x = 242,119.53
  5. Step 5: Solve for x
    x = 242,119.53/624.04
  6. Step 6: Final answer
    x = 387.99

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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.