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Finding the Fourth Proportional to 540.80, 746.34 and 307.94

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Solution

The fourth proportional to 540.80, 746.34 and 307.94 is: 424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.80 : 746.34 = 307.94 : x
  2. Step 2: Convert to fraction form
    540.80/746.34 = 307.94/x
  3. Step 3: Cross multiply
    540.80x = 746.34 × 307.94
  4. Step 4: Simplify right side
    540.80x = 229,827.94
  5. Step 5: Solve for x
    x = 229,827.94/540.80
  6. Step 6: Final answer
    x = 424.98

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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.