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Finding the Fourth Proportional to 607.82, 839.49 and 442.77

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Solution

The fourth proportional to 607.82, 839.49 and 442.77 is: 611.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.82 : 839.49 = 442.77 : x
  2. Step 2: Convert to fraction form
    607.82/839.49 = 442.77/x
  3. Step 3: Cross multiply
    607.82x = 839.49 × 442.77
  4. Step 4: Simplify right side
    607.82x = 371,700.99
  5. Step 5: Solve for x
    x = 371,700.99/607.82
  6. Step 6: Final answer
    x = 611.53

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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.