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Finding the Fourth Proportional to 571.66, 853.39 and 510.14

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Solution

The fourth proportional to 571.66, 853.39 and 510.14 is: 761.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.66 : 853.39 = 510.14 : x
  2. Step 2: Convert to fraction form
    571.66/853.39 = 510.14/x
  3. Step 3: Cross multiply
    571.66x = 853.39 × 510.14
  4. Step 4: Simplify right side
    571.66x = 435,348.37
  5. Step 5: Solve for x
    x = 435,348.37/571.66
  6. Step 6: Final answer
    x = 761.55

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