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Finding the Fourth Proportional to 540.16, 745.29 and 307.24

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Solution

The fourth proportional to 540.16, 745.29 and 307.24 is: 423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.16 : 745.29 = 307.24 : x
  2. Step 2: Convert to fraction form
    540.16/745.29 = 307.24/x
  3. Step 3: Cross multiply
    540.16x = 745.29 × 307.24
  4. Step 4: Simplify right side
    540.16x = 228,982.90
  5. Step 5: Solve for x
    x = 228,982.90/540.16
  6. Step 6: Final answer
    x = 423.92

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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.