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Finding the Fourth Proportional to 426.47, 589.07 and 296.06

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Solution

The fourth proportional to 426.47, 589.07 and 296.06 is: 408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.47 : 589.07 = 296.06 : x
  2. Step 2: Convert to fraction form
    426.47/589.07 = 296.06/x
  3. Step 3: Cross multiply
    426.47x = 589.07 × 296.06
  4. Step 4: Simplify right side
    426.47x = 174,397.86
  5. Step 5: Solve for x
    x = 174,397.86/426.47
  6. Step 6: Final answer
    x = 408.94

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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.