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Finding the Fourth Proportional to 571.41, 853.34 and 498.51

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Solution

The fourth proportional to 571.41, 853.34 and 498.51 is: 744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.41 : 853.34 = 498.51 : x
  2. Step 2: Convert to fraction form
    571.41/853.34 = 498.51/x
  3. Step 3: Cross multiply
    571.41x = 853.34 × 498.51
  4. Step 4: Simplify right side
    571.41x = 425,396.03
  5. Step 5: Solve for x
    x = 425,396.03/571.41
  6. Step 6: Final answer
    x = 744.47

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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.