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Finding the Fourth Proportional to 362.77, 501.06 and 264.37

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Solution

The fourth proportional to 362.77, 501.06 and 264.37 is: 365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.77 : 501.06 = 264.37 : x
  2. Step 2: Convert to fraction form
    362.77/501.06 = 264.37/x
  3. Step 3: Cross multiply
    362.77x = 501.06 × 264.37
  4. Step 4: Simplify right side
    362.77x = 132,465.23
  5. Step 5: Solve for x
    x = 132,465.23/362.77
  6. Step 6: Final answer
    x = 365.15

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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.