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Finding the Fourth Proportional to 540.82, 746.34 and 307.93

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Solution

The fourth proportional to 540.82, 746.34 and 307.93 is: 424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.82 : 746.34 = 307.93 : x
  2. Step 2: Convert to fraction form
    540.82/746.34 = 307.93/x
  3. Step 3: Cross multiply
    540.82x = 746.34 × 307.93
  4. Step 4: Simplify right side
    540.82x = 229,820.48
  5. Step 5: Solve for x
    x = 229,820.48/540.82
  6. Step 6: Final answer
    x = 424.95

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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.