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Finding the Fourth Proportional to 415.40, 573.28 and 258.13

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Solution

The fourth proportional to 415.40, 573.28 and 258.13 is: 356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.40 : 573.28 = 258.13 : x
  2. Step 2: Convert to fraction form
    415.40/573.28 = 258.13/x
  3. Step 3: Cross multiply
    415.40x = 573.28 × 258.13
  4. Step 4: Simplify right side
    415.40x = 147,982.88
  5. Step 5: Solve for x
    x = 147,982.88/415.40
  6. Step 6: Final answer
    x = 356.24

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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.