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Finding the Fourth Proportional to 470.06, 705.24 and 275.02

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Solution

The fourth proportional to 470.06, 705.24 and 275.02 is: 412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.06 : 705.24 = 275.02 : x
  2. Step 2: Convert to fraction form
    470.06/705.24 = 275.02/x
  3. Step 3: Cross multiply
    470.06x = 705.24 × 275.02
  4. Step 4: Simplify right side
    470.06x = 193,955.10
  5. Step 5: Solve for x
    x = 193,955.10/470.06
  6. Step 6: Final answer
    x = 412.62

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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.