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Finding the Fourth Proportional to 586.95, 880.71 and 327.14

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Solution

The fourth proportional to 586.95, 880.71 and 327.14 is: 490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.95 : 880.71 = 327.14 : x
  2. Step 2: Convert to fraction form
    586.95/880.71 = 327.14/x
  3. Step 3: Cross multiply
    586.95x = 880.71 × 327.14
  4. Step 4: Simplify right side
    586.95x = 288,113.14
  5. Step 5: Solve for x
    x = 288,113.14/586.95
  6. Step 6: Final answer
    x = 490.87

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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.