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Finding the Fourth Proportional to 464.08, 695.84 and 319.64

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Solution

The fourth proportional to 464.08, 695.84 and 319.64 is: 479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.08 : 695.84 = 319.64 : x
  2. Step 2: Convert to fraction form
    464.08/695.84 = 319.64/x
  3. Step 3: Cross multiply
    464.08x = 695.84 × 319.64
  4. Step 4: Simplify right side
    464.08x = 222,418.30
  5. Step 5: Solve for x
    x = 222,418.30/464.08
  6. Step 6: Final answer
    x = 479.27

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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.