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Finding the Fourth Proportional to 523.32, 722.19 and 290.46

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Solution

The fourth proportional to 523.32, 722.19 and 290.46 is: 400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.32 : 722.19 = 290.46 : x
  2. Step 2: Convert to fraction form
    523.32/722.19 = 290.46/x
  3. Step 3: Cross multiply
    523.32x = 722.19 × 290.46
  4. Step 4: Simplify right side
    523.32x = 209,767.31
  5. Step 5: Solve for x
    x = 209,767.31/523.32
  6. Step 6: Final answer
    x = 400.84

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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.