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Finding the Fourth Proportional to 540, 745.20 and 307.14

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Solution

The fourth proportional to 540, 745.20 and 307.14 is: 423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    540 : 745.20 = 307.14 : x
  2. Step 2: Convert to fraction form
    540/745.20 = 307.14/x
  3. Step 3: Cross multiply
    540x = 745.20 × 307.14
  4. Step 4: Simplify right side
    540x = 228,880.73
  5. Step 5: Solve for x
    x = 228,880.73/540
  6. Step 6: Final answer
    x = 423.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.