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Finding the Fourth Proportional to 477.44, 715.76 and 220.76

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Solution

The fourth proportional to 477.44, 715.76 and 220.76 is: 330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.44 : 715.76 = 220.76 : x
  2. Step 2: Convert to fraction form
    477.44/715.76 = 220.76/x
  3. Step 3: Cross multiply
    477.44x = 715.76 × 220.76
  4. Step 4: Simplify right side
    477.44x = 158,011.18
  5. Step 5: Solve for x
    x = 158,011.18/477.44
  6. Step 6: Final answer
    x = 330.96

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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.