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Finding the Fourth Proportional to 580.08, 864.94 and 515.68

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Solution

The fourth proportional to 580.08, 864.94 and 515.68 is: 768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.08 : 864.94 = 515.68 : x
  2. Step 2: Convert to fraction form
    580.08/864.94 = 515.68/x
  3. Step 3: Cross multiply
    580.08x = 864.94 × 515.68
  4. Step 4: Simplify right side
    580.08x = 446,029.68
  5. Step 5: Solve for x
    x = 446,029.68/580.08
  6. Step 6: Final answer
    x = 768.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.