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Finding the Fourth Proportional to 574.68, 792.14 and 417.04

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Solution

The fourth proportional to 574.68, 792.14 and 417.04 is: 574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.68 : 792.14 = 417.04 : x
  2. Step 2: Convert to fraction form
    574.68/792.14 = 417.04/x
  3. Step 3: Cross multiply
    574.68x = 792.14 × 417.04
  4. Step 4: Simplify right side
    574.68x = 330,354.07
  5. Step 5: Solve for x
    x = 330,354.07/574.68
  6. Step 6: Final answer
    x = 574.85

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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.