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Finding the Fourth Proportional to 604.85, 907.55 and 258.26

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Solution

The fourth proportional to 604.85, 907.55 and 258.26 is: 387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.85 : 907.55 = 258.26 : x
  2. Step 2: Convert to fraction form
    604.85/907.55 = 258.26/x
  3. Step 3: Cross multiply
    604.85x = 907.55 × 258.26
  4. Step 4: Simplify right side
    604.85x = 234,386.78
  5. Step 5: Solve for x
    x = 234,386.78/604.85
  6. Step 6: Final answer
    x = 387.52

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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.