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Finding the Fourth Proportional to 523.02, 721.64 and 301.95

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Solution

The fourth proportional to 523.02, 721.64 and 301.95 is: 416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.02 : 721.64 = 301.95 : x
  2. Step 2: Convert to fraction form
    523.02/721.64 = 301.95/x
  3. Step 3: Cross multiply
    523.02x = 721.64 × 301.95
  4. Step 4: Simplify right side
    523.02x = 217,899.20
  5. Step 5: Solve for x
    x = 217,899.20/523.02
  6. Step 6: Final answer
    x = 416.62

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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.