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Finding the Fourth Proportional to 477.93, 716.16 and 230.87

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Solution

The fourth proportional to 477.93, 716.16 and 230.87 is: 345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.93 : 716.16 = 230.87 : x
  2. Step 2: Convert to fraction form
    477.93/716.16 = 230.87/x
  3. Step 3: Cross multiply
    477.93x = 716.16 × 230.87
  4. Step 4: Simplify right side
    477.93x = 165,342.52
  5. Step 5: Solve for x
    x = 165,342.52/477.93
  6. Step 6: Final answer
    x = 345.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.