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Finding the Fourth Proportional to 310.50, 467.88 and 277.36

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Solution

The fourth proportional to 310.50, 467.88 and 277.36 is: 417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.50 : 467.88 = 277.36 : x
  2. Step 2: Convert to fraction form
    310.50/467.88 = 277.36/x
  3. Step 3: Cross multiply
    310.50x = 467.88 × 277.36
  4. Step 4: Simplify right side
    310.50x = 129,771.20
  5. Step 5: Solve for x
    x = 129,771.20/310.50
  6. Step 6: Final answer
    x = 417.94

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