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Finding the Fourth Proportional to 309.16, 463.02 and 298.36

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Solution

The fourth proportional to 309.16, 463.02 and 298.36 is: 446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.16 : 463.02 = 298.36 : x
  2. Step 2: Convert to fraction form
    309.16/463.02 = 298.36/x
  3. Step 3: Cross multiply
    309.16x = 463.02 × 298.36
  4. Step 4: Simplify right side
    309.16x = 138,146.65
  5. Step 5: Solve for x
    x = 138,146.65/309.16
  6. Step 6: Final answer
    x = 446.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.