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Finding the Fourth Proportional to 345.70, 477.06 and 214.67

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Solution

The fourth proportional to 345.70, 477.06 and 214.67 is: 296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.70 : 477.06 = 214.67 : x
  2. Step 2: Convert to fraction form
    345.70/477.06 = 214.67/x
  3. Step 3: Cross multiply
    345.70x = 477.06 × 214.67
  4. Step 4: Simplify right side
    345.70x = 102,410.47
  5. Step 5: Solve for x
    x = 102,410.47/345.70
  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.