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Finding the Fourth Proportional to 580.60, 869.76 and 436.48

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Solution

The fourth proportional to 580.60, 869.76 and 436.48 is: 653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.60 : 869.76 = 436.48 : x
  2. Step 2: Convert to fraction form
    580.60/869.76 = 436.48/x
  3. Step 3: Cross multiply
    580.60x = 869.76 × 436.48
  4. Step 4: Simplify right side
    580.60x = 379,632.84
  5. Step 5: Solve for x
    x = 379,632.84/580.60
  6. Step 6: Final answer
    x = 653.86

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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.