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Finding the Fourth Proportional to 367.84, 549.10 and 354.16

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Solution

The fourth proportional to 367.84, 549.10 and 354.16 is: 528.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.84 : 549.10 = 354.16 : x
  2. Step 2: Convert to fraction form
    367.84/549.10 = 354.16/x
  3. Step 3: Cross multiply
    367.84x = 549.10 × 354.16
  4. Step 4: Simplify right side
    367.84x = 194,469.26
  5. Step 5: Solve for x
    x = 194,469.26/367.84
  6. Step 6: Final answer
    x = 528.68

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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.