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Finding the Fourth Proportional to 514.69, 767.34 and 483.71

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Solution

The fourth proportional to 514.69, 767.34 and 483.71 is: 721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.69 : 767.34 = 483.71 : x
  2. Step 2: Convert to fraction form
    514.69/767.34 = 483.71/x
  3. Step 3: Cross multiply
    514.69x = 767.34 × 483.71
  4. Step 4: Simplify right side
    514.69x = 371,166.19
  5. Step 5: Solve for x
    x = 371,166.19/514.69
  6. Step 6: Final answer
    x = 721.15

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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.