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Finding the Fourth Proportional to 362.61, 499.77 and 264.15

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Solution

The fourth proportional to 362.61, 499.77 and 264.15 is: 364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.61 : 499.77 = 264.15 : x
  2. Step 2: Convert to fraction form
    362.61/499.77 = 264.15/x
  3. Step 3: Cross multiply
    362.61x = 499.77 × 264.15
  4. Step 4: Simplify right side
    362.61x = 132,014.25
  5. Step 5: Solve for x
    x = 132,014.25/362.61
  6. Step 6: Final answer
    x = 364.07

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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.