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Finding the Fourth Proportional to 313.20, 468.08 and 288.57

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Solution

The fourth proportional to 313.20, 468.08 and 288.57 is: 431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.20 : 468.08 = 288.57 : x
  2. Step 2: Convert to fraction form
    313.20/468.08 = 288.57/x
  3. Step 3: Cross multiply
    313.20x = 468.08 × 288.57
  4. Step 4: Simplify right side
    313.20x = 135,076.32
  5. Step 5: Solve for x
    x = 135,076.32/313.20
  6. Step 6: Final answer
    x = 431.27

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Why These Related Problems?

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