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Finding the Fourth Proportional to 332.93, 496.46 and 309.85

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Solution

The fourth proportional to 332.93, 496.46 and 309.85 is: 462.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.93 : 496.46 = 309.85 : x
  2. Step 2: Convert to fraction form
    332.93/496.46 = 309.85/x
  3. Step 3: Cross multiply
    332.93x = 496.46 × 309.85
  4. Step 4: Simplify right side
    332.93x = 153,828.13
  5. Step 5: Solve for x
    x = 153,828.13/332.93
  6. Step 6: Final answer
    x = 462.04

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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.