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Finding the Fourth Proportional to 523.74, 722.62 and 337.16

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Solution

The fourth proportional to 523.74, 722.62 and 337.16 is: 465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.74 : 722.62 = 337.16 : x
  2. Step 2: Convert to fraction form
    523.74/722.62 = 337.16/x
  3. Step 3: Cross multiply
    523.74x = 722.62 × 337.16
  4. Step 4: Simplify right side
    523.74x = 243,640.79
  5. Step 5: Solve for x
    x = 243,640.79/523.74
  6. Step 6: Final answer
    x = 465.19

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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.