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Finding the Fourth Proportional to 574.98, 792.38 and 417.34

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Solution

The fourth proportional to 574.98, 792.38 and 417.34 is: 575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.98 : 792.38 = 417.34 : x
  2. Step 2: Convert to fraction form
    574.98/792.38 = 417.34/x
  3. Step 3: Cross multiply
    574.98x = 792.38 × 417.34
  4. Step 4: Simplify right side
    574.98x = 330,691.87
  5. Step 5: Solve for x
    x = 330,691.87/574.98
  6. Step 6: Final answer
    x = 575.14

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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.