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Finding the Fourth Proportional to 415.53, 573.66 and 258.21

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Solution

The fourth proportional to 415.53, 573.66 and 258.21 is: 356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.53 : 573.66 = 258.21 : x
  2. Step 2: Convert to fraction form
    415.53/573.66 = 258.21/x
  3. Step 3: Cross multiply
    415.53x = 573.66 × 258.21
  4. Step 4: Simplify right side
    415.53x = 148,124.75
  5. Step 5: Solve for x
    x = 148,124.75/415.53
  6. Step 6: Final answer
    x = 356.47

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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.