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Finding the Fourth Proportional to 583.84, 876.12 and 218.88

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Solution

The fourth proportional to 583.84, 876.12 and 218.88 is: 328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.84 : 876.12 = 218.88 : x
  2. Step 2: Convert to fraction form
    583.84/876.12 = 218.88/x
  3. Step 3: Cross multiply
    583.84x = 876.12 × 218.88
  4. Step 4: Simplify right side
    583.84x = 191,765.15
  5. Step 5: Solve for x
    x = 191,765.15/583.84
  6. Step 6: Final answer
    x = 328.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.