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Finding the Fourth Proportional to 367.91, 549.23 and 355.10

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Solution

The fourth proportional to 367.91, 549.23 and 355.10 is: 530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.91 : 549.23 = 355.10 : x
  2. Step 2: Convert to fraction form
    367.91/549.23 = 355.10/x
  3. Step 3: Cross multiply
    367.91x = 549.23 × 355.10
  4. Step 4: Simplify right side
    367.91x = 195,027.05
  5. Step 5: Solve for x
    x = 195,027.05/367.91
  6. Step 6: Final answer
    x = 530.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.