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Finding the Fourth Proportional to 523.16, 722.02 and 302.11

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Solution

The fourth proportional to 523.16, 722.02 and 302.11 is: 416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.16 : 722.02 = 302.11 : x
  2. Step 2: Convert to fraction form
    523.16/722.02 = 302.11/x
  3. Step 3: Cross multiply
    523.16x = 722.02 × 302.11
  4. Step 4: Simplify right side
    523.16x = 218,125.85
  5. Step 5: Solve for x
    x = 218,125.85/523.16
  6. Step 6: Final answer
    x = 416.94

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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.