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Finding the Fourth Proportional to 424.60, 585.28 and 350.80

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Solution

The fourth proportional to 424.60, 585.28 and 350.80 is: 483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.60 : 585.28 = 350.80 : x
  2. Step 2: Convert to fraction form
    424.60/585.28 = 350.80/x
  3. Step 3: Cross multiply
    424.60x = 585.28 × 350.80
  4. Step 4: Simplify right side
    424.60x = 205,316.22
  5. Step 5: Solve for x
    x = 205,316.22/424.60
  6. Step 6: Final answer
    x = 483.55

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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.