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Finding the Fourth Proportional to 534.02, 733.97 and 471.47

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Solution

The fourth proportional to 534.02, 733.97 and 471.47 is: 648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.02 : 733.97 = 471.47 : x
  2. Step 2: Convert to fraction form
    534.02/733.97 = 471.47/x
  3. Step 3: Cross multiply
    534.02x = 733.97 × 471.47
  4. Step 4: Simplify right side
    534.02x = 346,044.84
  5. Step 5: Solve for x
    x = 346,044.84/534.02
  6. Step 6: Final answer
    x = 648.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.