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Finding the Fourth Proportional to 425.26, 585.48 and 294.04

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Solution

The fourth proportional to 425.26, 585.48 and 294.04 is: 404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.26 : 585.48 = 294.04 : x
  2. Step 2: Convert to fraction form
    425.26/585.48 = 294.04/x
  3. Step 3: Cross multiply
    425.26x = 585.48 × 294.04
  4. Step 4: Simplify right side
    425.26x = 172,153.08
  5. Step 5: Solve for x
    x = 172,153.08/425.26
  6. Step 6: Final answer
    x = 404.82

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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.