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Finding the Fourth Proportional to 475.28, 708.34 and 465.68

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Solution

The fourth proportional to 475.28, 708.34 and 465.68 is: 694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.28 : 708.34 = 465.68 : x
  2. Step 2: Convert to fraction form
    475.28/708.34 = 465.68/x
  3. Step 3: Cross multiply
    475.28x = 708.34 × 465.68
  4. Step 4: Simplify right side
    475.28x = 329,859.77
  5. Step 5: Solve for x
    x = 329,859.77/475.28
  6. Step 6: Final answer
    x = 694.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.