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Finding the Fourth Proportional to 426.93, 641.66 and 354.29

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Solution

The fourth proportional to 426.93, 641.66 and 354.29 is: 532.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.93 : 641.66 = 354.29 : x
  2. Step 2: Convert to fraction form
    426.93/641.66 = 354.29/x
  3. Step 3: Cross multiply
    426.93x = 641.66 × 354.29
  4. Step 4: Simplify right side
    426.93x = 227,328.74
  5. Step 5: Solve for x
    x = 227,328.74/426.93
  6. Step 6: Final answer
    x = 532.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.