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Finding the Fourth Proportional to 610.51, 842.64 and 389.78

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Solution

The fourth proportional to 610.51, 842.64 and 389.78 is: 537.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.51 : 842.64 = 389.78 : x
  2. Step 2: Convert to fraction form
    610.51/842.64 = 389.78/x
  3. Step 3: Cross multiply
    610.51x = 842.64 × 389.78
  4. Step 4: Simplify right side
    610.51x = 328,444.22
  5. Step 5: Solve for x
    x = 328,444.22/610.51
  6. Step 6: Final answer
    x = 537.99

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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.