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Finding the Fourth Proportional to 523.19, 721.82 and 302.00

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Solution

The fourth proportional to 523.19, 721.82 and 302.00 is: 416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.19 : 721.82 = 302.00 : x
  2. Step 2: Convert to fraction form
    523.19/721.82 = 302.00/x
  3. Step 3: Cross multiply
    523.19x = 721.82 × 302.00
  4. Step 4: Simplify right side
    523.19x = 217,986.79
  5. Step 5: Solve for x
    x = 217,986.79/523.19
  6. Step 6: Final answer
    x = 416.65

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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.