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Finding the Fourth Proportional to 424.70, 585.78 and 294.02

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Solution

The fourth proportional to 424.70, 585.78 and 294.02 is: 405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.70 : 585.78 = 294.02 : x
  2. Step 2: Convert to fraction form
    424.70/585.78 = 294.02/x
  3. Step 3: Cross multiply
    424.70x = 585.78 × 294.02
  4. Step 4: Simplify right side
    424.70x = 172,231.04
  5. Step 5: Solve for x
    x = 172,231.04/424.70
  6. Step 6: Final answer
    x = 405.54

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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.