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Finding the Fourth Proportional to 477.52, 716.06 and 188.76

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Solution

The fourth proportional to 477.52, 716.06 and 188.76 is: 283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.52 : 716.06 = 188.76 : x
  2. Step 2: Convert to fraction form
    477.52/716.06 = 188.76/x
  3. Step 3: Cross multiply
    477.52x = 716.06 × 188.76
  4. Step 4: Simplify right side
    477.52x = 135,163.49
  5. Step 5: Solve for x
    x = 135,163.49/477.52
  6. Step 6: Final answer
    x = 283.05

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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.