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Finding the Fourth Proportional to 431.36, 595.31 and 284.30

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Solution

The fourth proportional to 431.36, 595.31 and 284.30 is: 392.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.36 : 595.31 = 284.30 : x
  2. Step 2: Convert to fraction form
    431.36/595.31 = 284.30/x
  3. Step 3: Cross multiply
    431.36x = 595.31 × 284.30
  4. Step 4: Simplify right side
    431.36x = 169,242.23
  5. Step 5: Solve for x
    x = 169,242.23/431.36
  6. Step 6: Final answer
    x = 392.35

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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.