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Finding the Fourth Proportional to 470.52, 706.02 and 264.78

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Solution

The fourth proportional to 470.52, 706.02 and 264.78 is: 397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.52 : 706.02 = 264.78 : x
  2. Step 2: Convert to fraction form
    470.52/706.02 = 264.78/x
  3. Step 3: Cross multiply
    470.52x = 706.02 × 264.78
  4. Step 4: Simplify right side
    470.52x = 186,939.98
  5. Step 5: Solve for x
    x = 186,939.98/470.52
  6. Step 6: Final answer
    x = 397.31

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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.