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Finding the Fourth Proportional to 332.74, 499.46 and 294.47

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Solution

The fourth proportional to 332.74, 499.46 and 294.47 is: 442.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.74 : 499.46 = 294.47 : x
  2. Step 2: Convert to fraction form
    332.74/499.46 = 294.47/x
  3. Step 3: Cross multiply
    332.74x = 499.46 × 294.47
  4. Step 4: Simplify right side
    332.74x = 147,074.23
  5. Step 5: Solve for x
    x = 147,074.23/332.74
  6. Step 6: Final answer
    x = 442.01

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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.