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Finding the Fourth Proportional to 407.60, 560.76 and 400.04

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Solution

The fourth proportional to 407.60, 560.76 and 400.04 is: 550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.60 : 560.76 = 400.04 : x
  2. Step 2: Convert to fraction form
    407.60/560.76 = 400.04/x
  3. Step 3: Cross multiply
    407.60x = 560.76 × 400.04
  4. Step 4: Simplify right side
    407.60x = 224,326.43
  5. Step 5: Solve for x
    x = 224,326.43/407.60
  6. Step 6: Final answer
    x = 550.36

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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.