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Finding the Fourth Proportional to 470.91, 705.65 and 288.05

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Solution

The fourth proportional to 470.91, 705.65 and 288.05 is: 431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.91 : 705.65 = 288.05 : x
  2. Step 2: Convert to fraction form
    470.91/705.65 = 288.05/x
  3. Step 3: Cross multiply
    470.91x = 705.65 × 288.05
  4. Step 4: Simplify right side
    470.91x = 203,262.48
  5. Step 5: Solve for x
    x = 203,262.48/470.91
  6. Step 6: Final answer
    x = 431.64

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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.