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Finding the Fourth Proportional to 621.26, 935.57 and 541.06

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Solution

The fourth proportional to 621.26, 935.57 and 541.06 is: 814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.26 : 935.57 = 541.06 : x
  2. Step 2: Convert to fraction form
    621.26/935.57 = 541.06/x
  3. Step 3: Cross multiply
    621.26x = 935.57 × 541.06
  4. Step 4: Simplify right side
    621.26x = 506,199.50
  5. Step 5: Solve for x
    x = 506,199.50/621.26
  6. Step 6: Final answer
    x = 814.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.