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Finding the Fourth Proportional to 604.97, 907.18 and 258.14

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Solution

The fourth proportional to 604.97, 907.18 and 258.14 is: 387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.97 : 907.18 = 258.14 : x
  2. Step 2: Convert to fraction form
    604.97/907.18 = 258.14/x
  3. Step 3: Cross multiply
    604.97x = 907.18 × 258.14
  4. Step 4: Simplify right side
    604.97x = 234,182.52
  5. Step 5: Solve for x
    x = 234,182.52/604.97
  6. Step 6: Final answer
    x = 387.09

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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.