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Finding the Fourth Proportional to 471.46, 707.16 and 288.88

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Solution

The fourth proportional to 471.46, 707.16 and 288.88 is: 433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.46 : 707.16 = 288.88 : x
  2. Step 2: Convert to fraction form
    471.46/707.16 = 288.88/x
  3. Step 3: Cross multiply
    471.46x = 707.16 × 288.88
  4. Step 4: Simplify right side
    471.46x = 204,284.38
  5. Step 5: Solve for x
    x = 204,284.38/471.46
  6. Step 6: Final answer
    x = 433.30

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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.