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Finding the Fourth Proportional to 332.40, 497.28 and 280.46

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Solution

The fourth proportional to 332.40, 497.28 and 280.46 is: 419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.40 : 497.28 = 280.46 : x
  2. Step 2: Convert to fraction form
    332.40/497.28 = 280.46/x
  3. Step 3: Cross multiply
    332.40x = 497.28 × 280.46
  4. Step 4: Simplify right side
    332.40x = 139,467.15
  5. Step 5: Solve for x
    x = 139,467.15/332.40
  6. Step 6: Final answer
    x = 419.58

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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.