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Finding the Fourth Proportional to 332.76, 497.70 and 272.28

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Solution

The fourth proportional to 332.76, 497.70 and 272.28 is: 407.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.76 : 497.70 = 272.28 : x
  2. Step 2: Convert to fraction form
    332.76/497.70 = 272.28/x
  3. Step 3: Cross multiply
    332.76x = 497.70 × 272.28
  4. Step 4: Simplify right side
    332.76x = 135,513.76
  5. Step 5: Solve for x
    x = 135,513.76/332.76
  6. Step 6: Final answer
    x = 407.24

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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.