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Finding the Fourth Proportional to 332.70, 496.10 and 310.35

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Solution

The fourth proportional to 332.70, 496.10 and 310.35 is: 462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.70 : 496.10 = 310.35 : x
  2. Step 2: Convert to fraction form
    332.70/496.10 = 310.35/x
  3. Step 3: Cross multiply
    332.70x = 496.10 × 310.35
  4. Step 4: Simplify right side
    332.70x = 153,963.08
  5. Step 5: Solve for x
    x = 153,963.08/332.70
  6. Step 6: Final answer
    x = 462.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.