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Finding the Fourth Proportional to 469.20, 699.92 and 415.20

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Solution

The fourth proportional to 469.20, 699.92 and 415.20 is: 619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.20 : 699.92 = 415.20 : x
  2. Step 2: Convert to fraction form
    469.20/699.92 = 415.20/x
  3. Step 3: Cross multiply
    469.20x = 699.92 × 415.20
  4. Step 4: Simplify right side
    469.20x = 290,606.78
  5. Step 5: Solve for x
    x = 290,606.78/469.20
  6. Step 6: Final answer
    x = 619.37

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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.