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Finding the Fourth Proportional to 534.03, 733.97 and 471.48

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Solution

The fourth proportional to 534.03, 733.97 and 471.48 is: 648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.03 : 733.97 = 471.48 : x
  2. Step 2: Convert to fraction form
    534.03/733.97 = 471.48/x
  3. Step 3: Cross multiply
    534.03x = 733.97 × 471.48
  4. Step 4: Simplify right side
    534.03x = 346,048.51
  5. Step 5: Solve for x
    x = 346,048.51/534.03
  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.