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Finding the Fourth Proportional to 407.68, 561.84 and 402.56

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Solution

The fourth proportional to 407.68, 561.84 and 402.56 is: 554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.68 : 561.84 = 402.56 : x
  2. Step 2: Convert to fraction form
    407.68/561.84 = 402.56/x
  3. Step 3: Cross multiply
    407.68x = 561.84 × 402.56
  4. Step 4: Simplify right side
    407.68x = 226,174.31
  5. Step 5: Solve for x
    x = 226,174.31/407.68
  6. Step 6: Final answer
    x = 554.78

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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.