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Finding the Fourth Proportional to 431.12, 595.26 and 284.18

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Solution

The fourth proportional to 431.12, 595.26 and 284.18 is: 392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.12 : 595.26 = 284.18 : x
  2. Step 2: Convert to fraction form
    431.12/595.26 = 284.18/x
  3. Step 3: Cross multiply
    431.12x = 595.26 × 284.18
  4. Step 4: Simplify right side
    431.12x = 169,160.99
  5. Step 5: Solve for x
    x = 169,160.99/431.12
  6. Step 6: Final answer
    x = 392.38

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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.