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Finding the Fourth Proportional to 540.47, 745.39 and 442.06

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Solution

The fourth proportional to 540.47, 745.39 and 442.06 is: 609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.47 : 745.39 = 442.06 : x
  2. Step 2: Convert to fraction form
    540.47/745.39 = 442.06/x
  3. Step 3: Cross multiply
    540.47x = 745.39 × 442.06
  4. Step 4: Simplify right side
    540.47x = 329,507.10
  5. Step 5: Solve for x
    x = 329,507.10/540.47
  6. Step 6: Final answer
    x = 609.67

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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.