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Finding the Fourth Proportional to 315.35, 474.39 and 298.94

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Solution

The fourth proportional to 315.35, 474.39 and 298.94 is: 449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.35 : 474.39 = 298.94 : x
  2. Step 2: Convert to fraction form
    315.35/474.39 = 298.94/x
  3. Step 3: Cross multiply
    315.35x = 474.39 × 298.94
  4. Step 4: Simplify right side
    315.35x = 141,811.77
  5. Step 5: Solve for x
    x = 141,811.77/315.35
  6. Step 6: Final answer
    x = 449.70

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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.