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Finding the Fourth Proportional to 470.16, 649.08 and 322.92

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Solution

The fourth proportional to 470.16, 649.08 and 322.92 is: 445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.16 : 649.08 = 322.92 : x
  2. Step 2: Convert to fraction form
    470.16/649.08 = 322.92/x
  3. Step 3: Cross multiply
    470.16x = 649.08 × 322.92
  4. Step 4: Simplify right side
    470.16x = 209,600.91
  5. Step 5: Solve for x
    x = 209,600.91/470.16
  6. Step 6: Final answer
    x = 445.81

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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.