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Finding the Fourth Proportional to 562.50, 837.32 and 535.95

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Solution

The fourth proportional to 562.50, 837.32 and 535.95 is: 797.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.50 : 837.32 = 535.95 : x
  2. Step 2: Convert to fraction form
    562.50/837.32 = 535.95/x
  3. Step 3: Cross multiply
    562.50x = 837.32 × 535.95
  4. Step 4: Simplify right side
    562.50x = 448,758.97
  5. Step 5: Solve for x
    x = 448,758.97/562.50
  6. Step 6: Final answer
    x = 797.79

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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.