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Finding the Fourth Proportional to 470.92, 649.06 and 405.16

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Solution

The fourth proportional to 470.92, 649.06 and 405.16 is: 558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.92 : 649.06 = 405.16 : x
  2. Step 2: Convert to fraction form
    470.92/649.06 = 405.16/x
  3. Step 3: Cross multiply
    470.92x = 649.06 × 405.16
  4. Step 4: Simplify right side
    470.92x = 262,973.15
  5. Step 5: Solve for x
    x = 262,973.15/470.92
  6. Step 6: Final answer
    x = 558.42

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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.