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Finding the Fourth Proportional to 415.18, 573.51 and 283.96

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Solution

The fourth proportional to 415.18, 573.51 and 283.96 is: 392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.18 : 573.51 = 283.96 : x
  2. Step 2: Convert to fraction form
    415.18/573.51 = 283.96/x
  3. Step 3: Cross multiply
    415.18x = 573.51 × 283.96
  4. Step 4: Simplify right side
    415.18x = 162,853.90
  5. Step 5: Solve for x
    x = 162,853.90/415.18
  6. Step 6: Final answer
    x = 392.25

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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.