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Finding the Fourth Proportional to 513.87, 767.04 and 470.58

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Solution

The fourth proportional to 513.87, 767.04 and 470.58 is: 702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.87 : 767.04 = 470.58 : x
  2. Step 2: Convert to fraction form
    513.87/767.04 = 470.58/x
  3. Step 3: Cross multiply
    513.87x = 767.04 × 470.58
  4. Step 4: Simplify right side
    513.87x = 360,953.68
  5. Step 5: Solve for x
    x = 360,953.68/513.87
  6. Step 6: Final answer
    x = 702.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.