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Finding the Fourth Proportional to 309.70, 462.06 and 296.18

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Solution

The fourth proportional to 309.70, 462.06 and 296.18 is: 441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.70 : 462.06 = 296.18 : x
  2. Step 2: Convert to fraction form
    309.70/462.06 = 296.18/x
  3. Step 3: Cross multiply
    309.70x = 462.06 × 296.18
  4. Step 4: Simplify right side
    309.70x = 136,852.93
  5. Step 5: Solve for x
    x = 136,852.93/309.70
  6. Step 6: Final answer
    x = 441.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.