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Finding the Fourth Proportional to 340.56, 469.73 and 288.59

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Solution

The fourth proportional to 340.56, 469.73 and 288.59 is: 398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.56 : 469.73 = 288.59 : x
  2. Step 2: Convert to fraction form
    340.56/469.73 = 288.59/x
  3. Step 3: Cross multiply
    340.56x = 469.73 × 288.59
  4. Step 4: Simplify right side
    340.56x = 135,559.38
  5. Step 5: Solve for x
    x = 135,559.38/340.56
  6. Step 6: Final answer
    x = 398.05

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Why These Related Problems?

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