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Finding the Fourth Proportional to 434.97, 600.01 and 260.21

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Solution

The fourth proportional to 434.97, 600.01 and 260.21 is: 358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.97 : 600.01 = 260.21 : x
  2. Step 2: Convert to fraction form
    434.97/600.01 = 260.21/x
  3. Step 3: Cross multiply
    434.97x = 600.01 × 260.21
  4. Step 4: Simplify right side
    434.97x = 156,129.45
  5. Step 5: Solve for x
    x = 156,129.45/434.97
  6. Step 6: Final answer
    x = 358.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.