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Finding the Fourth Proportional to 580.10, 870.39 and 306.43

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Solution

The fourth proportional to 580.10, 870.39 and 306.43 is: 459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.10 : 870.39 = 306.43 : x
  2. Step 2: Convert to fraction form
    580.10/870.39 = 306.43/x
  3. Step 3: Cross multiply
    580.10x = 870.39 × 306.43
  4. Step 4: Simplify right side
    580.10x = 266,713.61
  5. Step 5: Solve for x
    x = 266,713.61/580.10
  6. Step 6: Final answer
    x = 459.77

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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.