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Finding the Fourth Proportional to 695.64, 959.83 and 415.77

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Solution

The fourth proportional to 695.64, 959.83 and 415.77 is: 573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.64 : 959.83 = 415.77 : x
  2. Step 2: Convert to fraction form
    695.64/959.83 = 415.77/x
  3. Step 3: Cross multiply
    695.64x = 959.83 × 415.77
  4. Step 4: Simplify right side
    695.64x = 399,063.72
  5. Step 5: Solve for x
    x = 399,063.72/695.64
  6. Step 6: Final answer
    x = 573.67

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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.