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Finding the Fourth Proportional to 580.07, 869.29 and 319.66

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Solution

The fourth proportional to 580.07, 869.29 and 319.66 is: 479.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.07 : 869.29 = 319.66 : x
  2. Step 2: Convert to fraction form
    580.07/869.29 = 319.66/x
  3. Step 3: Cross multiply
    580.07x = 869.29 × 319.66
  4. Step 4: Simplify right side
    580.07x = 277,877.24
  5. Step 5: Solve for x
    x = 277,877.24/580.07
  6. Step 6: Final answer
    x = 479.04

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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.