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Finding the Fourth Proportional to 564.30, 844.56 and 320.76

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Solution

The fourth proportional to 564.30, 844.56 and 320.76 is: 480.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.30 : 844.56 = 320.76 : x
  2. Step 2: Convert to fraction form
    564.30/844.56 = 320.76/x
  3. Step 3: Cross multiply
    564.30x = 844.56 × 320.76
  4. Step 4: Simplify right side
    564.30x = 270,901.07
  5. Step 5: Solve for x
    x = 270,901.07/564.30
  6. Step 6: Final answer
    x = 480.07

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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.