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Finding the Fourth Proportional to 539.04, 807.84 and 230.76

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Solution

The fourth proportional to 539.04, 807.84 and 230.76 is: 345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.04 : 807.84 = 230.76 : x
  2. Step 2: Convert to fraction form
    539.04/807.84 = 230.76/x
  3. Step 3: Cross multiply
    539.04x = 807.84 × 230.76
  4. Step 4: Simplify right side
    539.04x = 186,417.16
  5. Step 5: Solve for x
    x = 186,417.16/539.04
  6. Step 6: Final answer
    x = 345.83

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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.