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Finding the Fourth Proportional to 470.09, 705.94 and 288.55

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Solution

The fourth proportional to 470.09, 705.94 and 288.55 is: 433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.09 : 705.94 = 288.55 : x
  2. Step 2: Convert to fraction form
    470.09/705.94 = 288.55/x
  3. Step 3: Cross multiply
    470.09x = 705.94 × 288.55
  4. Step 4: Simplify right side
    470.09x = 203,698.99
  5. Step 5: Solve for x
    x = 203,698.99/470.09
  6. Step 6: Final answer
    x = 433.32

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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.