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Finding the Fourth Proportional to 586.80, 880.28 and 216.63

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Solution

The fourth proportional to 586.80, 880.28 and 216.63 is: 324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.80 : 880.28 = 216.63 : x
  2. Step 2: Convert to fraction form
    586.80/880.28 = 216.63/x
  3. Step 3: Cross multiply
    586.80x = 880.28 × 216.63
  4. Step 4: Simplify right side
    586.80x = 190,695.06
  5. Step 5: Solve for x
    x = 190,695.06/586.80
  6. Step 6: Final answer
    x = 324.97

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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.