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Finding the Fourth Proportional to 477.70, 716.84 and 189.13

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Solution

The fourth proportional to 477.70, 716.84 and 189.13 is: 283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.70 : 716.84 = 189.13 : x
  2. Step 2: Convert to fraction form
    477.70/716.84 = 189.13/x
  3. Step 3: Cross multiply
    477.70x = 716.84 × 189.13
  4. Step 4: Simplify right side
    477.70x = 135,575.95
  5. Step 5: Solve for x
    x = 135,575.95/477.70
  6. Step 6: Final answer
    x = 283.81

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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.