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Finding the Fourth Proportional to 523.50, 722.25 and 302.42

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Solution

The fourth proportional to 523.50, 722.25 and 302.42 is: 417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.50 : 722.25 = 302.42 : x
  2. Step 2: Convert to fraction form
    523.50/722.25 = 302.42/x
  3. Step 3: Cross multiply
    523.50x = 722.25 × 302.42
  4. Step 4: Simplify right side
    523.50x = 218,422.85
  5. Step 5: Solve for x
    x = 218,422.85/523.50
  6. Step 6: Final answer
    x = 417.24

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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.