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Finding the Fourth Proportional to 580.72, 870.72 and 306.64

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Solution

The fourth proportional to 580.72, 870.72 and 306.64 is: 459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.72 : 870.72 = 306.64 : x
  2. Step 2: Convert to fraction form
    580.72/870.72 = 306.64/x
  3. Step 3: Cross multiply
    580.72x = 870.72 × 306.64
  4. Step 4: Simplify right side
    580.72x = 266,997.58
  5. Step 5: Solve for x
    x = 266,997.58/580.72
  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.