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Finding the Fourth Proportional to 470.03, 700.22 and 452.61

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Solution

The fourth proportional to 470.03, 700.22 and 452.61 is: 674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.03 : 700.22 = 452.61 : x
  2. Step 2: Convert to fraction form
    470.03/700.22 = 452.61/x
  3. Step 3: Cross multiply
    470.03x = 700.22 × 452.61
  4. Step 4: Simplify right side
    470.03x = 316,927.71
  5. Step 5: Solve for x
    x = 316,927.71/470.03
  6. Step 6: Final answer
    x = 674.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.