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Finding the Fourth Proportional to 540.56, 746.01 and 307.69

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Solution

The fourth proportional to 540.56, 746.01 and 307.69 is: 424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.56 : 746.01 = 307.69 : x
  2. Step 2: Convert to fraction form
    540.56/746.01 = 307.69/x
  3. Step 3: Cross multiply
    540.56x = 746.01 × 307.69
  4. Step 4: Simplify right side
    540.56x = 229,537.95
  5. Step 5: Solve for x
    x = 229,537.95/540.56
  6. Step 6: Final answer
    x = 424.63

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