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Finding the Fourth Proportional to 470.20, 705.30 and 210.15

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Solution

The fourth proportional to 470.20, 705.30 and 210.15 is: 315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.20 : 705.30 = 210.15 : x
  2. Step 2: Convert to fraction form
    470.20/705.30 = 210.15/x
  3. Step 3: Cross multiply
    470.20x = 705.30 × 210.15
  4. Step 4: Simplify right side
    470.20x = 148,218.80
  5. Step 5: Solve for x
    x = 148,218.80/470.20
  6. Step 6: Final answer
    x = 315.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.