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Finding the Fourth Proportional to 540.34, 745.66 and 307.46

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Solution

The fourth proportional to 540.34, 745.66 and 307.46 is: 424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.34 : 745.66 = 307.46 : x
  2. Step 2: Convert to fraction form
    540.34/745.66 = 307.46/x
  3. Step 3: Cross multiply
    540.34x = 745.66 × 307.46
  4. Step 4: Simplify right side
    540.34x = 229,260.62
  5. Step 5: Solve for x
    x = 229,260.62/540.34
  6. Step 6: Final answer
    x = 424.29

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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.