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Finding the Fourth Proportional to 424.34, 585 and 362.82

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Solution

The fourth proportional to 424.34, 585 and 362.82 is: 500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.34 : 585 = 362.82 : x
  2. Step 2: Convert to fraction form
    424.34/585 = 362.82/x
  3. Step 3: Cross multiply
    424.34x = 585 × 362.82
  4. Step 4: Simplify right side
    424.34x = 212,251.89
  5. Step 5: Solve for x
    x = 212,251.89/424.34
  6. Step 6: Final answer
    x = 500.19

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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.