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Finding the Fourth Proportional to 471.41, 705.75 and 288.25

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Solution

The fourth proportional to 471.41, 705.75 and 288.25 is: 431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.41 : 705.75 = 288.25 : x
  2. Step 2: Convert to fraction form
    471.41/705.75 = 288.25/x
  3. Step 3: Cross multiply
    471.41x = 705.75 × 288.25
  4. Step 4: Simplify right side
    471.41x = 203,430.67
  5. Step 5: Solve for x
    x = 203,430.67/471.41
  6. Step 6: Final answer
    x = 431.53

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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.