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Finding the Fourth Proportional to 431.80, 596.09 and 284.67

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Solution

The fourth proportional to 431.80, 596.09 and 284.67 is: 392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.80 : 596.09 = 284.67 : x
  2. Step 2: Convert to fraction form
    431.80/596.09 = 284.67/x
  3. Step 3: Cross multiply
    431.80x = 596.09 × 284.67
  4. Step 4: Simplify right side
    431.80x = 169,689.65
  5. Step 5: Solve for x
    x = 169,689.65/431.80
  6. Step 6: Final answer
    x = 392.98

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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.