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Finding the Fourth Proportional to 431.22, 595.11 and 284.13

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Solution

The fourth proportional to 431.22, 595.11 and 284.13 is: 392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.22 : 595.11 = 284.13 : x
  2. Step 2: Convert to fraction form
    431.22/595.11 = 284.13/x
  3. Step 3: Cross multiply
    431.22x = 595.11 × 284.13
  4. Step 4: Simplify right side
    431.22x = 169,088.60
  5. Step 5: Solve for x
    x = 169,088.60/431.22
  6. Step 6: Final answer
    x = 392.12

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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.