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Finding the Fourth Proportional to 523.17, 722.02 and 290.29

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Solution

The fourth proportional to 523.17, 722.02 and 290.29 is: 400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.17 : 722.02 = 290.29 : x
  2. Step 2: Convert to fraction form
    523.17/722.02 = 290.29/x
  3. Step 3: Cross multiply
    523.17x = 722.02 × 290.29
  4. Step 4: Simplify right side
    523.17x = 209,595.19
  5. Step 5: Solve for x
    x = 209,595.19/523.17
  6. Step 6: Final answer
    x = 400.63

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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.