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Finding the Fourth Proportional to 523.85, 722.93 and 287.80

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Solution

The fourth proportional to 523.85, 722.93 and 287.80 is: 397.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.85 : 722.93 = 287.80 : x
  2. Step 2: Convert to fraction form
    523.85/722.93 = 287.80/x
  3. Step 3: Cross multiply
    523.85x = 722.93 × 287.80
  4. Step 4: Simplify right side
    523.85x = 208,056.01
  5. Step 5: Solve for x
    x = 208,056.01/523.85
  6. Step 6: Final answer
    x = 397.17

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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.