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Finding the Fourth Proportional to 544.12, 811.76 and 466.18

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Solution

The fourth proportional to 544.12, 811.76 and 466.18 is: 695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.12 : 811.76 = 466.18 : x
  2. Step 2: Convert to fraction form
    544.12/811.76 = 466.18/x
  3. Step 3: Cross multiply
    544.12x = 811.76 × 466.18
  4. Step 4: Simplify right side
    544.12x = 378,426.28
  5. Step 5: Solve for x
    x = 378,426.28/544.12
  6. Step 6: Final answer
    x = 695.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.