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Finding the Fourth Proportional to 366.53, 549.08 and 284.11

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Solution

The fourth proportional to 366.53, 549.08 and 284.11 is: 425.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.53 : 549.08 = 284.11 : x
  2. Step 2: Convert to fraction form
    366.53/549.08 = 284.11/x
  3. Step 3: Cross multiply
    366.53x = 549.08 × 284.11
  4. Step 4: Simplify right side
    366.53x = 155,997.39
  5. Step 5: Solve for x
    x = 155,997.39/366.53
  6. Step 6: Final answer
    x = 425.61

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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.