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Finding the Fourth Proportional to 400.18, 552.42 and 295.08

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Solution

The fourth proportional to 400.18, 552.42 and 295.08 is: 407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.18 : 552.42 = 295.08 : x
  2. Step 2: Convert to fraction form
    400.18/552.42 = 295.08/x
  3. Step 3: Cross multiply
    400.18x = 552.42 × 295.08
  4. Step 4: Simplify right side
    400.18x = 163,008.09
  5. Step 5: Solve for x
    x = 163,008.09/400.18
  6. Step 6: Final answer
    x = 407.34

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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.