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Finding the Fourth Proportional to 477.42, 716.04 and 152.76

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Solution

The fourth proportional to 477.42, 716.04 and 152.76 is: 229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.42 : 716.04 = 152.76 : x
  2. Step 2: Convert to fraction form
    477.42/716.04 = 152.76/x
  3. Step 3: Cross multiply
    477.42x = 716.04 × 152.76
  4. Step 4: Simplify right side
    477.42x = 109,382.27
  5. Step 5: Solve for x
    x = 109,382.27/477.42
  6. Step 6: Final answer
    x = 229.11

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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.