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Finding the Fourth Proportional to 426.48, 588.63 and 356.46

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Solution

The fourth proportional to 426.48, 588.63 and 356.46 is: 491.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.48 : 588.63 = 356.46 : x
  2. Step 2: Convert to fraction form
    426.48/588.63 = 356.46/x
  3. Step 3: Cross multiply
    426.48x = 588.63 × 356.46
  4. Step 4: Simplify right side
    426.48x = 209,823.05
  5. Step 5: Solve for x
    x = 209,823.05/426.48
  6. Step 6: Final answer
    x = 491.99

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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.