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Finding the Fourth Proportional to 540.82, 746.40 and 307.99

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Solution

The fourth proportional to 540.82, 746.40 and 307.99 is: 425.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.82 : 746.40 = 307.99 : x
  2. Step 2: Convert to fraction form
    540.82/746.40 = 307.99/x
  3. Step 3: Cross multiply
    540.82x = 746.40 × 307.99
  4. Step 4: Simplify right side
    540.82x = 229,883.74
  5. Step 5: Solve for x
    x = 229,883.74/540.82
  6. Step 6: Final answer
    x = 425.07

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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.