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Finding the Fourth Proportional to 580.53, 866.04 and 538.59

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Solution

The fourth proportional to 580.53, 866.04 and 538.59 is: 803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.53 : 866.04 = 538.59 : x
  2. Step 2: Convert to fraction form
    580.53/866.04 = 538.59/x
  3. Step 3: Cross multiply
    580.53x = 866.04 × 538.59
  4. Step 4: Simplify right side
    580.53x = 466,440.48
  5. Step 5: Solve for x
    x = 466,440.48/580.53
  6. Step 6: Final answer
    x = 803.47

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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.