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Finding the Fourth Proportional to 283.71, 424.71 and 175.17

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Solution

The fourth proportional to 283.71, 424.71 and 175.17 is: 262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.71 : 424.71 = 175.17 : x
  2. Step 2: Convert to fraction form
    283.71/424.71 = 175.17/x
  3. Step 3: Cross multiply
    283.71x = 424.71 × 175.17
  4. Step 4: Simplify right side
    283.71x = 74,396.45
  5. Step 5: Solve for x
    x = 74,396.45/283.71
  6. Step 6: Final answer
    x = 262.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.