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Finding the Fourth Proportional to 582.16, 872.12 and 337.94

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Solution

The fourth proportional to 582.16, 872.12 and 337.94 is: 506.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.16 : 872.12 = 337.94 : x
  2. Step 2: Convert to fraction form
    582.16/872.12 = 337.94/x
  3. Step 3: Cross multiply
    582.16x = 872.12 × 337.94
  4. Step 4: Simplify right side
    582.16x = 294,724.23
  5. Step 5: Solve for x
    x = 294,724.23/582.16
  6. Step 6: Final answer
    x = 506.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.