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Finding the Fourth Proportional to 477.79, 716.27 and 185.13

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Solution

The fourth proportional to 477.79, 716.27 and 185.13 is: 277.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.79 : 716.27 = 185.13 : x
  2. Step 2: Convert to fraction form
    477.79/716.27 = 185.13/x
  3. Step 3: Cross multiply
    477.79x = 716.27 × 185.13
  4. Step 4: Simplify right side
    477.79x = 132,603.07
  5. Step 5: Solve for x
    x = 132,603.07/477.79
  6. Step 6: Final answer
    x = 277.53

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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.