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Finding the Fourth Proportional to 581.16, 872.20 and 337.84

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Solution

The fourth proportional to 581.16, 872.20 and 337.84 is: 507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.16 : 872.20 = 337.84 : x
  2. Step 2: Convert to fraction form
    581.16/872.20 = 337.84/x
  3. Step 3: Cross multiply
    581.16x = 872.20 × 337.84
  4. Step 4: Simplify right side
    581.16x = 294,664.05
  5. Step 5: Solve for x
    x = 294,664.05/581.16
  6. Step 6: Final answer
    x = 507.03

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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.