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Finding the Fourth Proportional to 415.50, 573.40 and 260.34

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Solution

The fourth proportional to 415.50, 573.40 and 260.34 is: 359.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.50 : 573.40 = 260.34 : x
  2. Step 2: Convert to fraction form
    415.50/573.40 = 260.34/x
  3. Step 3: Cross multiply
    415.50x = 573.40 × 260.34
  4. Step 4: Simplify right side
    415.50x = 149,278.96
  5. Step 5: Solve for x
    x = 149,278.96/415.50
  6. Step 6: Final answer
    x = 359.28

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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.