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Finding the Fourth Proportional to 431.31, 645.72 and 400.93

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Solution

The fourth proportional to 431.31, 645.72 and 400.93 is: 600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.31 : 645.72 = 400.93 : x
  2. Step 2: Convert to fraction form
    431.31/645.72 = 400.93/x
  3. Step 3: Cross multiply
    431.31x = 645.72 × 400.93
  4. Step 4: Simplify right side
    431.31x = 258,888.52
  5. Step 5: Solve for x
    x = 258,888.52/431.31
  6. Step 6: Final answer
    x = 600.24

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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.