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Finding the Fourth Proportional to 523.40, 722.40 and 365.99

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Solution

The fourth proportional to 523.40, 722.40 and 365.99 is: 505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.40 : 722.40 = 365.99 : x
  2. Step 2: Convert to fraction form
    523.40/722.40 = 365.99/x
  3. Step 3: Cross multiply
    523.40x = 722.40 × 365.99
  4. Step 4: Simplify right side
    523.40x = 264,391.18
  5. Step 5: Solve for x
    x = 264,391.18/523.40
  6. Step 6: Final answer
    x = 505.14

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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.