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Finding the Fourth Proportional to 424.17, 585 and 293.22

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Solution

The fourth proportional to 424.17, 585 and 293.22 is: 404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.17 : 585 = 293.22 : x
  2. Step 2: Convert to fraction form
    424.17/585 = 293.22/x
  3. Step 3: Cross multiply
    424.17x = 585 × 293.22
  4. Step 4: Simplify right side
    424.17x = 171,533.70
  5. Step 5: Solve for x
    x = 171,533.70/424.17
  6. Step 6: Final answer
    x = 404.40

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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.