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Finding the Fourth Proportional to 345.14, 476.32 and 214.08

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Solution

The fourth proportional to 345.14, 476.32 and 214.08 is: 295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.14 : 476.32 = 214.08 : x
  2. Step 2: Convert to fraction form
    345.14/476.32 = 214.08/x
  3. Step 3: Cross multiply
    345.14x = 476.32 × 214.08
  4. Step 4: Simplify right side
    345.14x = 101,970.59
  5. Step 5: Solve for x
    x = 101,970.59/345.14
  6. Step 6: Final answer
    x = 295.45

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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.