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Finding the Fourth Proportional to 539.16, 807.84 and 250.08

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Solution

The fourth proportional to 539.16, 807.84 and 250.08 is: 374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.16 : 807.84 = 250.08 : x
  2. Step 2: Convert to fraction form
    539.16/807.84 = 250.08/x
  3. Step 3: Cross multiply
    539.16x = 807.84 × 250.08
  4. Step 4: Simplify right side
    539.16x = 202,024.63
  5. Step 5: Solve for x
    x = 202,024.63/539.16
  6. Step 6: Final answer
    x = 374.70

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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.