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Finding the Fourth Proportional to 470.86, 702.35 and 445.48

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Solution

The fourth proportional to 470.86, 702.35 and 445.48 is: 664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.86 : 702.35 = 445.48 : x
  2. Step 2: Convert to fraction form
    470.86/702.35 = 445.48/x
  3. Step 3: Cross multiply
    470.86x = 702.35 × 445.48
  4. Step 4: Simplify right side
    470.86x = 312,882.88
  5. Step 5: Solve for x
    x = 312,882.88/470.86
  6. Step 6: Final answer
    x = 664.49

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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.