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Finding the Fourth Proportional to 517.95, 779.76 and 472.59

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Solution

The fourth proportional to 517.95, 779.76 and 472.59 is: 711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.95 : 779.76 = 472.59 : x
  2. Step 2: Convert to fraction form
    517.95/779.76 = 472.59/x
  3. Step 3: Cross multiply
    517.95x = 779.76 × 472.59
  4. Step 4: Simplify right side
    517.95x = 368,506.78
  5. Step 5: Solve for x
    x = 368,506.78/517.95
  6. Step 6: Final answer
    x = 711.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.