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Finding the Fourth Proportional to 470.17, 705.27 and 288.73

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Solution

The fourth proportional to 470.17, 705.27 and 288.73 is: 433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.17 : 705.27 = 288.73 : x
  2. Step 2: Convert to fraction form
    470.17/705.27 = 288.73/x
  3. Step 3: Cross multiply
    470.17x = 705.27 × 288.73
  4. Step 4: Simplify right side
    470.17x = 203,629.08
  5. Step 5: Solve for x
    x = 203,629.08/470.17
  6. Step 6: Final answer
    x = 433.10

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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.