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Finding the Fourth Proportional to 475.50, 655.82 and 288.92

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Solution

The fourth proportional to 475.50, 655.82 and 288.92 is: 398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.50 : 655.82 = 288.92 : x
  2. Step 2: Convert to fraction form
    475.50/655.82 = 288.92/x
  3. Step 3: Cross multiply
    475.50x = 655.82 × 288.92
  4. Step 4: Simplify right side
    475.50x = 189,479.51
  5. Step 5: Solve for x
    x = 189,479.51/475.50
  6. Step 6: Final answer
    x = 398.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.