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Finding the Fourth Proportional to 547.26, 821.28 and 410.67

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Solution

The fourth proportional to 547.26, 821.28 and 410.67 is: 616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.26 : 821.28 = 410.67 : x
  2. Step 2: Convert to fraction form
    547.26/821.28 = 410.67/x
  3. Step 3: Cross multiply
    547.26x = 821.28 × 410.67
  4. Step 4: Simplify right side
    547.26x = 337,275.06
  5. Step 5: Solve for x
    x = 337,275.06/547.26
  6. Step 6: Final answer
    x = 616.30

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1.5x scale

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.