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Finding the Fourth Proportional to 312.18, 428.50 and 298.81

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Solution

The fourth proportional to 312.18, 428.50 and 298.81 is: 410.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.18 : 428.50 = 298.81 : x
  2. Step 2: Convert to fraction form
    312.18/428.50 = 298.81/x
  3. Step 3: Cross multiply
    312.18x = 428.50 × 298.81
  4. Step 4: Simplify right side
    312.18x = 128,038.59
  5. Step 5: Solve for x
    x = 128,038.59/312.18
  6. Step 6: Final answer
    x = 410.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.