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Finding the Fourth Proportional to 541.42, 745.66 and 467.71

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Solution

The fourth proportional to 541.42, 745.66 and 467.71 is: 644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.42 : 745.66 = 467.71 : x
  2. Step 2: Convert to fraction form
    541.42/745.66 = 467.71/x
  3. Step 3: Cross multiply
    541.42x = 745.66 × 467.71
  4. Step 4: Simplify right side
    541.42x = 348,752.64
  5. Step 5: Solve for x
    x = 348,752.64/541.42
  6. Step 6: Final answer
    x = 644.14

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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.