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Finding the Fourth Proportional to 580.84, 870.82 and 306.88

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Solution

The fourth proportional to 580.84, 870.82 and 306.88 is: 460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.84 : 870.82 = 306.88 : x
  2. Step 2: Convert to fraction form
    580.84/870.82 = 306.88/x
  3. Step 3: Cross multiply
    580.84x = 870.82 × 306.88
  4. Step 4: Simplify right side
    580.84x = 267,237.24
  5. Step 5: Solve for x
    x = 267,237.24/580.84
  6. Step 6: Final answer
    x = 460.09

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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.