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Finding the Fourth Proportional to 540.34, 745.91 and 341.35

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Solution

The fourth proportional to 540.34, 745.91 and 341.35 is: 471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.34 : 745.91 = 341.35 : x
  2. Step 2: Convert to fraction form
    540.34/745.91 = 341.35/x
  3. Step 3: Cross multiply
    540.34x = 745.91 × 341.35
  4. Step 4: Simplify right side
    540.34x = 254,616.38
  5. Step 5: Solve for x
    x = 254,616.38/540.34
  6. Step 6: Final answer
    x = 471.22

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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.