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Finding the Fourth Proportional to 468.02, 645.77 and 271.52

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Solution

The fourth proportional to 468.02, 645.77 and 271.52 is: 374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.02 : 645.77 = 271.52 : x
  2. Step 2: Convert to fraction form
    468.02/645.77 = 271.52/x
  3. Step 3: Cross multiply
    468.02x = 645.77 × 271.52
  4. Step 4: Simplify right side
    468.02x = 175,339.47
  5. Step 5: Solve for x
    x = 175,339.47/468.02
  6. Step 6: Final answer
    x = 374.64

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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.