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Finding the Fourth Proportional to 313.08, 468.90 and 286.35

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Solution

The fourth proportional to 313.08, 468.90 and 286.35 is: 428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.08 : 468.90 = 286.35 : x
  2. Step 2: Convert to fraction form
    313.08/468.90 = 286.35/x
  3. Step 3: Cross multiply
    313.08x = 468.90 × 286.35
  4. Step 4: Simplify right side
    313.08x = 134,269.52
  5. Step 5: Solve for x
    x = 134,269.52/313.08
  6. Step 6: Final answer
    x = 428.87

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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.