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Finding the Fourth Proportional to 287.54, 431.41 and 282.92

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Solution

The fourth proportional to 287.54, 431.41 and 282.92 is: 424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.54 : 431.41 = 282.92 : x
  2. Step 2: Convert to fraction form
    287.54/431.41 = 282.92/x
  3. Step 3: Cross multiply
    287.54x = 431.41 × 282.92
  4. Step 4: Simplify right side
    287.54x = 122,054.52
  5. Step 5: Solve for x
    x = 122,054.52/287.54
  6. Step 6: Final answer
    x = 424.48

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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.