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Finding the Fourth Proportional to 600.13, 900.55 and 258.13

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Solution

The fourth proportional to 600.13, 900.55 and 258.13 is: 387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.13 : 900.55 = 258.13 : x
  2. Step 2: Convert to fraction form
    600.13/900.55 = 258.13/x
  3. Step 3: Cross multiply
    600.13x = 900.55 × 258.13
  4. Step 4: Simplify right side
    600.13x = 232,454.47
  5. Step 5: Solve for x
    x = 232,454.47/600.13
  6. Step 6: Final answer
    x = 387.34

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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.