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Finding the Fourth Proportional to 310.70, 465.66 and 278.02

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Solution

The fourth proportional to 310.70, 465.66 and 278.02 is: 416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.70 : 465.66 = 278.02 : x
  2. Step 2: Convert to fraction form
    310.70/465.66 = 278.02/x
  3. Step 3: Cross multiply
    310.70x = 465.66 × 278.02
  4. Step 4: Simplify right side
    310.70x = 129,462.79
  5. Step 5: Solve for x
    x = 129,462.79/310.70
  6. Step 6: Final answer
    x = 416.68

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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.