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Finding the Fourth Proportional to 576.64, 865.02 and 165.77

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Solution

The fourth proportional to 576.64, 865.02 and 165.77 is: 248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.64 : 865.02 = 165.77 : x
  2. Step 2: Convert to fraction form
    576.64/865.02 = 165.77/x
  3. Step 3: Cross multiply
    576.64x = 865.02 × 165.77
  4. Step 4: Simplify right side
    576.64x = 143,394.37
  5. Step 5: Solve for x
    x = 143,394.37/576.64
  6. Step 6: Final answer
    x = 248.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.