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Finding the Fourth Proportional to 523.84, 722.83 and 302.80

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Solution

The fourth proportional to 523.84, 722.83 and 302.80 is: 417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.84 : 722.83 = 302.80 : x
  2. Step 2: Convert to fraction form
    523.84/722.83 = 302.80/x
  3. Step 3: Cross multiply
    523.84x = 722.83 × 302.80
  4. Step 4: Simplify right side
    523.84x = 218,872.92
  5. Step 5: Solve for x
    x = 218,872.92/523.84
  6. Step 6: Final answer
    x = 417.82

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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.