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Finding the Fourth Proportional to 345.30, 476.82 and 214.53

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Solution

The fourth proportional to 345.30, 476.82 and 214.53 is: 296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.30 : 476.82 = 214.53 : x
  2. Step 2: Convert to fraction form
    345.30/476.82 = 214.53/x
  3. Step 3: Cross multiply
    345.30x = 476.82 × 214.53
  4. Step 4: Simplify right side
    345.30x = 102,292.19
  5. Step 5: Solve for x
    x = 102,292.19/345.30
  6. Step 6: Final answer
    x = 296.24

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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.