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Finding the Fourth Proportional to 749, 1,033.60 and 417.44

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Solution

The fourth proportional to 749, 1,033.60 and 417.44 is: 576.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    749 : 1,033.60 = 417.44 : x
  2. Step 2: Convert to fraction form
    749/1,033.60 = 417.44/x
  3. Step 3: Cross multiply
    749x = 1,033.60 × 417.44
  4. Step 4: Simplify right side
    749x = 431,465.98
  5. Step 5: Solve for x
    x = 431,465.98/749
  6. Step 6: Final answer
    x = 576.06

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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.