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Finding the Fourth Proportional to 345.99, 477.56 and 214.92

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Solution

The fourth proportional to 345.99, 477.56 and 214.92 is: 296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.99 : 477.56 = 214.92 : x
  2. Step 2: Convert to fraction form
    345.99/477.56 = 214.92/x
  3. Step 3: Cross multiply
    345.99x = 477.56 × 214.92
  4. Step 4: Simplify right side
    345.99x = 102,637.20
  5. Step 5: Solve for x
    x = 102,637.20/345.99
  6. Step 6: Final answer
    x = 296.65

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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.