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Finding the Fourth Proportional to 415.52, 573.18 and 260

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Solution

The fourth proportional to 415.52, 573.18 and 260 is: 358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.52 : 573.18 = 260 : x
  2. Step 2: Convert to fraction form
    415.52/573.18 = 260/x
  3. Step 3: Cross multiply
    415.52x = 573.18 × 260
  4. Step 4: Simplify right side
    415.52x = 149,026.80
  5. Step 5: Solve for x
    x = 149,026.80/415.52
  6. Step 6: Final answer
    x = 358.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.