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Finding the Fourth Proportional to 619.68, 854.64 and 521.67

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Solution

The fourth proportional to 619.68, 854.64 and 521.67 is: 719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.68 : 854.64 = 521.67 : x
  2. Step 2: Convert to fraction form
    619.68/854.64 = 521.67/x
  3. Step 3: Cross multiply
    619.68x = 854.64 × 521.67
  4. Step 4: Simplify right side
    619.68x = 445,840.05
  5. Step 5: Solve for x
    x = 445,840.05/619.68
  6. Step 6: Final answer
    x = 719.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.