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Finding the Fourth Proportional to 470.57, 706.05 and 265.50

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Solution

The fourth proportional to 470.57, 706.05 and 265.50 is: 398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.57 : 706.05 = 265.50 : x
  2. Step 2: Convert to fraction form
    470.57/706.05 = 265.50/x
  3. Step 3: Cross multiply
    470.57x = 706.05 × 265.50
  4. Step 4: Simplify right side
    470.57x = 187,456.28
  5. Step 5: Solve for x
    x = 187,456.28/470.57
  6. Step 6: Final answer
    x = 398.36

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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.