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Finding the Fourth Proportional to 523.60, 722.49 and 290.71

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Solution

The fourth proportional to 523.60, 722.49 and 290.71 is: 401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.60 : 722.49 = 290.71 : x
  2. Step 2: Convert to fraction form
    523.60/722.49 = 290.71/x
  3. Step 3: Cross multiply
    523.60x = 722.49 × 290.71
  4. Step 4: Simplify right side
    523.60x = 210,035.07
  5. Step 5: Solve for x
    x = 210,035.07/523.60
  6. Step 6: Final answer
    x = 401.14

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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.