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Finding the Fourth Proportional to 424.71, 585.90 and 300.33

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Solution

The fourth proportional to 424.71, 585.90 and 300.33 is: 414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.71 : 585.90 = 300.33 : x
  2. Step 2: Convert to fraction form
    424.71/585.90 = 300.33/x
  3. Step 3: Cross multiply
    424.71x = 585.90 × 300.33
  4. Step 4: Simplify right side
    424.71x = 175,963.35
  5. Step 5: Solve for x
    x = 175,963.35/424.71
  6. Step 6: Final answer
    x = 414.31

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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.