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Finding the Fourth Proportional to 464.31, 695.48 and 412.38

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Solution

The fourth proportional to 464.31, 695.48 and 412.38 is: 617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.31 : 695.48 = 412.38 : x
  2. Step 2: Convert to fraction form
    464.31/695.48 = 412.38/x
  3. Step 3: Cross multiply
    464.31x = 695.48 × 412.38
  4. Step 4: Simplify right side
    464.31x = 286,799.98
  5. Step 5: Solve for x
    x = 286,799.98/464.31
  6. Step 6: Final answer
    x = 617.69

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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.