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Finding the Fourth Proportional to 470.64, 649.10 and 415.42

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Solution

The fourth proportional to 470.64, 649.10 and 415.42 is: 572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.64 : 649.10 = 415.42 : x
  2. Step 2: Convert to fraction form
    470.64/649.10 = 415.42/x
  3. Step 3: Cross multiply
    470.64x = 649.10 × 415.42
  4. Step 4: Simplify right side
    470.64x = 269,649.12
  5. Step 5: Solve for x
    x = 269,649.12/470.64
  6. Step 6: Final answer
    x = 572.94

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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.