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Finding the Fourth Proportional to 540.42, 745.71 and 442.02

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Solution

The fourth proportional to 540.42, 745.71 and 442.02 is: 609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.42 : 745.71 = 442.02 : x
  2. Step 2: Convert to fraction form
    540.42/745.71 = 442.02/x
  3. Step 3: Cross multiply
    540.42x = 745.71 × 442.02
  4. Step 4: Simplify right side
    540.42x = 329,618.73
  5. Step 5: Solve for x
    x = 329,618.73/540.42
  6. Step 6: Final answer
    x = 609.93

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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.