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Finding the Fourth Proportional to 345.84, 520.69 and 238.34

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Solution

The fourth proportional to 345.84, 520.69 and 238.34 is: 358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.84 : 520.69 = 238.34 : x
  2. Step 2: Convert to fraction form
    345.84/520.69 = 238.34/x
  3. Step 3: Cross multiply
    345.84x = 520.69 × 238.34
  4. Step 4: Simplify right side
    345.84x = 124,098.06
  5. Step 5: Solve for x
    x = 124,098.06/345.84
  6. Step 6: Final answer
    x = 358.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.