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Finding the Fourth Proportional to 415.13, 573.08 and 259.88

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Solution

The fourth proportional to 415.13, 573.08 and 259.88 is: 358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.13 : 573.08 = 259.88 : x
  2. Step 2: Convert to fraction form
    415.13/573.08 = 259.88/x
  3. Step 3: Cross multiply
    415.13x = 573.08 × 259.88
  4. Step 4: Simplify right side
    415.13x = 148,927.87
  5. Step 5: Solve for x
    x = 148,927.87/415.13
  6. Step 6: Final answer
    x = 358.75

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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.