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Finding the Fourth Proportional to 345.46, 476.61 and 210.82

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Solution

The fourth proportional to 345.46, 476.61 and 210.82 is: 290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.46 : 476.61 = 210.82 : x
  2. Step 2: Convert to fraction form
    345.46/476.61 = 210.82/x
  3. Step 3: Cross multiply
    345.46x = 476.61 × 210.82
  4. Step 4: Simplify right side
    345.46x = 100,478.92
  5. Step 5: Solve for x
    x = 100,478.92/345.46
  6. Step 6: Final answer
    x = 290.86

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