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Finding the Fourth Proportional to 585.11, 807.84 and 375.38

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Solution

The fourth proportional to 585.11, 807.84 and 375.38 is: 518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.11 : 807.84 = 375.38 : x
  2. Step 2: Convert to fraction form
    585.11/807.84 = 375.38/x
  3. Step 3: Cross multiply
    585.11x = 807.84 × 375.38
  4. Step 4: Simplify right side
    585.11x = 303,246.98
  5. Step 5: Solve for x
    x = 303,246.98/585.11
  6. Step 6: Final answer
    x = 518.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.