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Finding the Fourth Proportional to 345.16, 476.40 and 214.36

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Solution

The fourth proportional to 345.16, 476.40 and 214.36 is: 295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.16 : 476.40 = 214.36 : x
  2. Step 2: Convert to fraction form
    345.16/476.40 = 214.36/x
  3. Step 3: Cross multiply
    345.16x = 476.40 × 214.36
  4. Step 4: Simplify right side
    345.16x = 102,121.10
  5. Step 5: Solve for x
    x = 102,121.10/345.16
  6. Step 6: Final answer
    x = 295.87

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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.