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Finding the Fourth Proportional to 464.80, 697.20 and 419.24

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Solution

The fourth proportional to 464.80, 697.20 and 419.24 is: 628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.80 : 697.20 = 419.24 : x
  2. Step 2: Convert to fraction form
    464.80/697.20 = 419.24/x
  3. Step 3: Cross multiply
    464.80x = 697.20 × 419.24
  4. Step 4: Simplify right side
    464.80x = 292,294.13
  5. Step 5: Solve for x
    x = 292,294.13/464.80
  6. Step 6: Final answer
    x = 628.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.