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Finding the Fourth Proportional to 400.12, 551.84 and 260.17

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Solution

The fourth proportional to 400.12, 551.84 and 260.17 is: 358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.12 : 551.84 = 260.17 : x
  2. Step 2: Convert to fraction form
    400.12/551.84 = 260.17/x
  3. Step 3: Cross multiply
    400.12x = 551.84 × 260.17
  4. Step 4: Simplify right side
    400.12x = 143,572.64
  5. Step 5: Solve for x
    x = 143,572.64/400.12
  6. Step 6: Final answer
    x = 358.82

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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.