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Finding the Fourth Proportional to 345.30, 476.51 and 214.37

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Solution

The fourth proportional to 345.30, 476.51 and 214.37 is: 295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.30 : 476.51 = 214.37 : x
  2. Step 2: Convert to fraction form
    345.30/476.51 = 214.37/x
  3. Step 3: Cross multiply
    345.30x = 476.51 × 214.37
  4. Step 4: Simplify right side
    345.30x = 102,145.99
  5. Step 5: Solve for x
    x = 102,145.99/345.30
  6. Step 6: Final answer
    x = 295.82

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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.