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Finding the Fourth Proportional to 367.82, 549.35 and 316.58

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Solution

The fourth proportional to 367.82, 549.35 and 316.58 is: 472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.82 : 549.35 = 316.58 : x
  2. Step 2: Convert to fraction form
    367.82/549.35 = 316.58/x
  3. Step 3: Cross multiply
    367.82x = 549.35 × 316.58
  4. Step 4: Simplify right side
    367.82x = 173,911.64
  5. Step 5: Solve for x
    x = 173,911.64/367.82
  6. Step 6: Final answer
    x = 472.82

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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.