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Finding the Fourth Proportional to 576.24, 795.06 and 366.60

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Solution

The fourth proportional to 576.24, 795.06 and 366.60 is: 505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.24 : 795.06 = 366.60 : x
  2. Step 2: Convert to fraction form
    576.24/795.06 = 366.60/x
  3. Step 3: Cross multiply
    576.24x = 795.06 × 366.60
  4. Step 4: Simplify right side
    576.24x = 291,469.00
  5. Step 5: Solve for x
    x = 291,469.00/576.24
  6. Step 6: Final answer
    x = 505.81

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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.