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Finding the Fourth Proportional to 367.90, 507.60 and 263.02

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Solution

The fourth proportional to 367.90, 507.60 and 263.02 is: 362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.90 : 507.60 = 263.02 : x
  2. Step 2: Convert to fraction form
    367.90/507.60 = 263.02/x
  3. Step 3: Cross multiply
    367.90x = 507.60 × 263.02
  4. Step 4: Simplify right side
    367.90x = 133,508.95
  5. Step 5: Solve for x
    x = 133,508.95/367.90
  6. Step 6: Final answer
    x = 362.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.