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Finding the Fourth Proportional to 571.91, 853.59 and 493.47

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Solution

The fourth proportional to 571.91, 853.59 and 493.47 is: 736.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.91 : 853.59 = 493.47 : x
  2. Step 2: Convert to fraction form
    571.91/853.59 = 493.47/x
  3. Step 3: Cross multiply
    571.91x = 853.59 × 493.47
  4. Step 4: Simplify right side
    571.91x = 421,221.06
  5. Step 5: Solve for x
    x = 421,221.06/571.91
  6. Step 6: Final answer
    x = 736.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.