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Finding the Fourth Proportional to 312.54, 468.20 and 286.72

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Solution

The fourth proportional to 312.54, 468.20 and 286.72 is: 429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.54 : 468.20 = 286.72 : x
  2. Step 2: Convert to fraction form
    312.54/468.20 = 286.72/x
  3. Step 3: Cross multiply
    312.54x = 468.20 × 286.72
  4. Step 4: Simplify right side
    312.54x = 134,240.24
  5. Step 5: Solve for x
    x = 134,240.24/312.54
  6. Step 6: Final answer
    x = 429.52

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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.