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Finding the Fourth Proportional to 477.93, 716.41 and 230.77

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Solution

The fourth proportional to 477.93, 716.41 and 230.77 is: 345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.93 : 716.41 = 230.77 : x
  2. Step 2: Convert to fraction form
    477.93/716.41 = 230.77/x
  3. Step 3: Cross multiply
    477.93x = 716.41 × 230.77
  4. Step 4: Simplify right side
    477.93x = 165,325.94
  5. Step 5: Solve for x
    x = 165,325.94/477.93
  6. Step 6: Final answer
    x = 345.92

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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.