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Finding the Fourth Proportional to 624.04, 935.69 and 258.63

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Solution

The fourth proportional to 624.04, 935.69 and 258.63 is: 387.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.04 : 935.69 = 258.63 : x
  2. Step 2: Convert to fraction form
    624.04/935.69 = 258.63/x
  3. Step 3: Cross multiply
    624.04x = 935.69 × 258.63
  4. Step 4: Simplify right side
    624.04x = 241,992.70
  5. Step 5: Solve for x
    x = 241,992.70/624.04
  6. Step 6: Final answer
    x = 387.79

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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.