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Finding the Fourth Proportional to 600.40, 828.40 and 470.40

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Solution

The fourth proportional to 600.40, 828.40 and 470.40 is: 649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.40 : 828.40 = 470.40 : x
  2. Step 2: Convert to fraction form
    600.40/828.40 = 470.40/x
  3. Step 3: Cross multiply
    600.40x = 828.40 × 470.40
  4. Step 4: Simplify right side
    600.40x = 389,679.36
  5. Step 5: Solve for x
    x = 389,679.36/600.40
  6. Step 6: Final answer
    x = 649.03

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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.