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Finding the Fourth Proportional to 562.56, 838.16 and 535.02

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Solution

The fourth proportional to 562.56, 838.16 and 535.02 is: 797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.56 : 838.16 = 535.02 : x
  2. Step 2: Convert to fraction form
    562.56/838.16 = 535.02/x
  3. Step 3: Cross multiply
    562.56x = 838.16 × 535.02
  4. Step 4: Simplify right side
    562.56x = 448,429.69
  5. Step 5: Solve for x
    x = 448,429.69/562.56
  6. Step 6: Final answer
    x = 797.12

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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.