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Finding the Fourth Proportional to 312.13, 468.33 and 277.98

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Solution

The fourth proportional to 312.13, 468.33 and 277.98 is: 417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.13 : 468.33 = 277.98 : x
  2. Step 2: Convert to fraction form
    312.13/468.33 = 277.98/x
  3. Step 3: Cross multiply
    312.13x = 468.33 × 277.98
  4. Step 4: Simplify right side
    312.13x = 130,186.37
  5. Step 5: Solve for x
    x = 130,186.37/312.13
  6. Step 6: Final answer
    x = 417.09

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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.