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Finding the Fourth Proportional to 345.80, 477.35 and 214.85

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Solution

The fourth proportional to 345.80, 477.35 and 214.85 is: 296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.80 : 477.35 = 214.85 : x
  2. Step 2: Convert to fraction form
    345.80/477.35 = 214.85/x
  3. Step 3: Cross multiply
    345.80x = 477.35 × 214.85
  4. Step 4: Simplify right side
    345.80x = 102,555.19
  5. Step 5: Solve for x
    x = 102,555.19/345.80
  6. Step 6: Final answer
    x = 296.58

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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.