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Finding the Fourth Proportional to 525.70, 726.18 and 470.44

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Solution

The fourth proportional to 525.70, 726.18 and 470.44 is: 649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.70 : 726.18 = 470.44 : x
  2. Step 2: Convert to fraction form
    525.70/726.18 = 470.44/x
  3. Step 3: Cross multiply
    525.70x = 726.18 × 470.44
  4. Step 4: Simplify right side
    525.70x = 341,624.12
  5. Step 5: Solve for x
    x = 341,624.12/525.70
  6. Step 6: Final answer
    x = 649.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.