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Finding the Fourth Proportional to 497.30, 745.96 and 204.76

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Solution

The fourth proportional to 497.30, 745.96 and 204.76 is: 307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.30 : 745.96 = 204.76 : x
  2. Step 2: Convert to fraction form
    497.30/745.96 = 204.76/x
  3. Step 3: Cross multiply
    497.30x = 745.96 × 204.76
  4. Step 4: Simplify right side
    497.30x = 152,740.39
  5. Step 5: Solve for x
    x = 152,740.39/497.30
  6. Step 6: Final answer
    x = 307.14

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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.