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Finding the Fourth Proportional to 470.87, 705.62 and 412.95

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Solution

The fourth proportional to 470.87, 705.62 and 412.95 is: 618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.87 : 705.62 = 412.95 : x
  2. Step 2: Convert to fraction form
    470.87/705.62 = 412.95/x
  3. Step 3: Cross multiply
    470.87x = 705.62 × 412.95
  4. Step 4: Simplify right side
    470.87x = 291,385.78
  5. Step 5: Solve for x
    x = 291,385.78/470.87
  6. Step 6: Final answer
    x = 618.82

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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.