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Finding the Fourth Proportional to 467.64, 698.00 and 431.06

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Solution

The fourth proportional to 467.64, 698.00 and 431.06 is: 643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.64 : 698.00 = 431.06 : x
  2. Step 2: Convert to fraction form
    467.64/698.00 = 431.06/x
  3. Step 3: Cross multiply
    467.64x = 698.00 × 431.06
  4. Step 4: Simplify right side
    467.64x = 300,874.23
  5. Step 5: Solve for x
    x = 300,874.23/467.64
  6. Step 6: Final answer
    x = 643.39

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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.