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Finding the Fourth Proportional to 431.21, 595.35 and 284.09

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Solution

The fourth proportional to 431.21, 595.35 and 284.09 is: 392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.21 : 595.35 = 284.09 : x
  2. Step 2: Convert to fraction form
    431.21/595.35 = 284.09/x
  3. Step 3: Cross multiply
    431.21x = 595.35 × 284.09
  4. Step 4: Simplify right side
    431.21x = 169,132.98
  5. Step 5: Solve for x
    x = 169,132.98/431.21
  6. Step 6: Final answer
    x = 392.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.