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Finding the Fourth Proportional to 583.94, 876.27 and 324.14

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Solution

The fourth proportional to 583.94, 876.27 and 324.14 is: 486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.94 : 876.27 = 324.14 : x
  2. Step 2: Convert to fraction form
    583.94/876.27 = 324.14/x
  3. Step 3: Cross multiply
    583.94x = 876.27 × 324.14
  4. Step 4: Simplify right side
    583.94x = 284,034.16
  5. Step 5: Solve for x
    x = 284,034.16/583.94
  6. Step 6: Final answer
    x = 486.41

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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.