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Finding the Fourth Proportional to 415.30, 573.11 and 260.02

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Solution

The fourth proportional to 415.30, 573.11 and 260.02 is: 358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.30 : 573.11 = 260.02 : x
  2. Step 2: Convert to fraction form
    415.30/573.11 = 260.02/x
  3. Step 3: Cross multiply
    415.30x = 573.11 × 260.02
  4. Step 4: Simplify right side
    415.30x = 149,020.06
  5. Step 5: Solve for x
    x = 149,020.06/415.30
  6. Step 6: Final answer
    x = 358.83

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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.