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Finding the Fourth Proportional to 367.90, 549.69 and 355.14

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Solution

The fourth proportional to 367.90, 549.69 and 355.14 is: 530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.90 : 549.69 = 355.14 : x
  2. Step 2: Convert to fraction form
    367.90/549.69 = 355.14/x
  3. Step 3: Cross multiply
    367.90x = 549.69 × 355.14
  4. Step 4: Simplify right side
    367.90x = 195,216.91
  5. Step 5: Solve for x
    x = 195,216.91/367.90
  6. Step 6: Final answer
    x = 530.62

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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.