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Finding the Fourth Proportional to 620.34, 929.30 and 580.25

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Solution

The fourth proportional to 620.34, 929.30 and 580.25 is: 869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.34 : 929.30 = 580.25 : x
  2. Step 2: Convert to fraction form
    620.34/929.30 = 580.25/x
  3. Step 3: Cross multiply
    620.34x = 929.30 × 580.25
  4. Step 4: Simplify right side
    620.34x = 539,218.78
  5. Step 5: Solve for x
    x = 539,218.78/620.34
  6. Step 6: Final answer
    x = 869.23

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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.