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Finding the Fourth Proportional to 540.23, 745.31 and 341.01

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Solution

The fourth proportional to 540.23, 745.31 and 341.01 is: 470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.23 : 745.31 = 341.01 : x
  2. Step 2: Convert to fraction form
    540.23/745.31 = 341.01/x
  3. Step 3: Cross multiply
    540.23x = 745.31 × 341.01
  4. Step 4: Simplify right side
    540.23x = 254,159.02
  5. Step 5: Solve for x
    x = 254,159.02/540.23
  6. Step 6: Final answer
    x = 470.47

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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.