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Finding the Fourth Proportional to 734.38, 1,013.42 and 415.32

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Solution

The fourth proportional to 734.38, 1,013.42 and 415.32 is: 573.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.38 : 1,013.42 = 415.32 : x
  2. Step 2: Convert to fraction form
    734.38/1,013.42 = 415.32/x
  3. Step 3: Cross multiply
    734.38x = 1,013.42 × 415.32
  4. Step 4: Simplify right side
    734.38x = 420,893.59
  5. Step 5: Solve for x
    x = 420,893.59/734.38
  6. Step 6: Final answer
    x = 573.13

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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.