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Finding the Fourth Proportional to 547.51, 820.18 and 410.71

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Solution

The fourth proportional to 547.51, 820.18 and 410.71 is: 615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.51 : 820.18 = 410.71 : x
  2. Step 2: Convert to fraction form
    547.51/820.18 = 410.71/x
  3. Step 3: Cross multiply
    547.51x = 820.18 × 410.71
  4. Step 4: Simplify right side
    547.51x = 336,856.13
  5. Step 5: Solve for x
    x = 336,856.13/547.51
  6. Step 6: Final answer
    x = 615.25

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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.