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Finding the Fourth Proportional to 477.81, 716.91 and 189.45

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Solution

The fourth proportional to 477.81, 716.91 and 189.45 is: 284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.81 : 716.91 = 189.45 : x
  2. Step 2: Convert to fraction form
    477.81/716.91 = 189.45/x
  3. Step 3: Cross multiply
    477.81x = 716.91 × 189.45
  4. Step 4: Simplify right side
    477.81x = 135,818.60
  5. Step 5: Solve for x
    x = 135,818.60/477.81
  6. Step 6: Final answer
    x = 284.25

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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.