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Finding the Fourth Proportional to 332.44, 497.21 and 307.83

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Solution

The fourth proportional to 332.44, 497.21 and 307.83 is: 460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.44 : 497.21 = 307.83 : x
  2. Step 2: Convert to fraction form
    332.44/497.21 = 307.83/x
  3. Step 3: Cross multiply
    332.44x = 497.21 × 307.83
  4. Step 4: Simplify right side
    332.44x = 153,056.48
  5. Step 5: Solve for x
    x = 153,056.48/332.44
  6. Step 6: Final answer
    x = 460.41

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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.