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Finding the Fourth Proportional to 465.78, 695.27 and 431.52

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Solution

The fourth proportional to 465.78, 695.27 and 431.52 is: 644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.78 : 695.27 = 431.52 : x
  2. Step 2: Convert to fraction form
    465.78/695.27 = 431.52/x
  3. Step 3: Cross multiply
    465.78x = 695.27 × 431.52
  4. Step 4: Simplify right side
    465.78x = 300,022.91
  5. Step 5: Solve for x
    x = 300,022.91/465.78
  6. Step 6: Final answer
    x = 644.13

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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.