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Finding the Fourth Proportional to 517.95, 773.33 and 466.11

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Solution

The fourth proportional to 517.95, 773.33 and 466.11 is: 695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.95 : 773.33 = 466.11 : x
  2. Step 2: Convert to fraction form
    517.95/773.33 = 466.11/x
  3. Step 3: Cross multiply
    517.95x = 773.33 × 466.11
  4. Step 4: Simplify right side
    517.95x = 360,454.52
  5. Step 5: Solve for x
    x = 360,454.52/517.95
  6. Step 6: Final answer
    x = 695.93

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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.