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Finding the Fourth Proportional to 400.29, 552.15 and 260.16

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Solution

The fourth proportional to 400.29, 552.15 and 260.16 is: 358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.29 : 552.15 = 260.16 : x
  2. Step 2: Convert to fraction form
    400.29/552.15 = 260.16/x
  3. Step 3: Cross multiply
    400.29x = 552.15 × 260.16
  4. Step 4: Simplify right side
    400.29x = 143,647.34
  5. Step 5: Solve for x
    x = 143,647.34/400.29
  6. Step 6: Final answer
    x = 358.86

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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.