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Finding the Fourth Proportional to 523.50, 722.43 and 290.63

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Solution

The fourth proportional to 523.50, 722.43 and 290.63 is: 401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.50 : 722.43 = 290.63 : x
  2. Step 2: Convert to fraction form
    523.50/722.43 = 290.63/x
  3. Step 3: Cross multiply
    523.50x = 722.43 × 290.63
  4. Step 4: Simplify right side
    523.50x = 209,959.83
  5. Step 5: Solve for x
    x = 209,959.83/523.50
  6. Step 6: Final answer
    x = 401.07

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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.