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Finding the Fourth Proportional to 424.96, 585.71 and 350.49

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Solution

The fourth proportional to 424.96, 585.71 and 350.49 is: 483.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.96 : 585.71 = 350.49 : x
  2. Step 2: Convert to fraction form
    424.96/585.71 = 350.49/x
  3. Step 3: Cross multiply
    424.96x = 585.71 × 350.49
  4. Step 4: Simplify right side
    424.96x = 205,287.26
  5. Step 5: Solve for x
    x = 205,287.26/424.96
  6. Step 6: Final answer
    x = 483.08

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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.