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Finding the Fourth Proportional to 477.69, 716.40 and 152.97

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Solution

The fourth proportional to 477.69, 716.40 and 152.97 is: 229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.69 : 716.40 = 152.97 : x
  2. Step 2: Convert to fraction form
    477.69/716.40 = 152.97/x
  3. Step 3: Cross multiply
    477.69x = 716.40 × 152.97
  4. Step 4: Simplify right side
    477.69x = 109,587.71
  5. Step 5: Solve for x
    x = 109,587.71/477.69
  6. Step 6: Final answer
    x = 229.41

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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.