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Finding the Fourth Proportional to 583.80, 876.14 and 324.03

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Solution

The fourth proportional to 583.80, 876.14 and 324.03 is: 486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.80 : 876.14 = 324.03 : x
  2. Step 2: Convert to fraction form
    583.80/876.14 = 324.03/x
  3. Step 3: Cross multiply
    583.80x = 876.14 × 324.03
  4. Step 4: Simplify right side
    583.80x = 283,894.02
  5. Step 5: Solve for x
    x = 283,894.02/583.80
  6. Step 6: Final answer
    x = 486.29

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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.