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Finding the Fourth Proportional to 477.41, 716.04 and 152.78

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Solution

The fourth proportional to 477.41, 716.04 and 152.78 is: 229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.41 : 716.04 = 152.78 : x
  2. Step 2: Convert to fraction form
    477.41/716.04 = 152.78/x
  3. Step 3: Cross multiply
    477.41x = 716.04 × 152.78
  4. Step 4: Simplify right side
    477.41x = 109,393.01
  5. Step 5: Solve for x
    x = 109,393.01/477.41
  6. Step 6: Final answer
    x = 229.14

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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.