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Finding the Fourth Proportional to 477.77, 716.16 and 185.24

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Solution

The fourth proportional to 477.77, 716.16 and 185.24 is: 277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.77 : 716.16 = 185.24 : x
  2. Step 2: Convert to fraction form
    477.77/716.16 = 185.24/x
  3. Step 3: Cross multiply
    477.77x = 716.16 × 185.24
  4. Step 4: Simplify right side
    477.77x = 132,661.48
  5. Step 5: Solve for x
    x = 132,661.48/477.77
  6. Step 6: Final answer
    x = 277.67

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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.