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Finding the Fourth Proportional to 368.11, 507.47 and 263.17

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Solution

The fourth proportional to 368.11, 507.47 and 263.17 is: 362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.11 : 507.47 = 263.17 : x
  2. Step 2: Convert to fraction form
    368.11/507.47 = 263.17/x
  3. Step 3: Cross multiply
    368.11x = 507.47 × 263.17
  4. Step 4: Simplify right side
    368.11x = 133,550.88
  5. Step 5: Solve for x
    x = 133,550.88/368.11
  6. Step 6: Final answer
    x = 362.80

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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.