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Finding the Fourth Proportional to 310.94, 468.48 and 277.76

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Solution

The fourth proportional to 310.94, 468.48 and 277.76 is: 418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.94 : 468.48 = 277.76 : x
  2. Step 2: Convert to fraction form
    310.94/468.48 = 277.76/x
  3. Step 3: Cross multiply
    310.94x = 468.48 × 277.76
  4. Step 4: Simplify right side
    310.94x = 130,127.22
  5. Step 5: Solve for x
    x = 130,127.22/310.94
  6. Step 6: Final answer
    x = 418.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.