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Finding the Fourth Proportional to 541.16, 809.76 and 454.76

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Solution

The fourth proportional to 541.16, 809.76 and 454.76 is: 680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.16 : 809.76 = 454.76 : x
  2. Step 2: Convert to fraction form
    541.16/809.76 = 454.76/x
  3. Step 3: Cross multiply
    541.16x = 809.76 × 454.76
  4. Step 4: Simplify right side
    541.16x = 368,246.46
  5. Step 5: Solve for x
    x = 368,246.46/541.16
  6. Step 6: Final answer
    x = 680.48

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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.