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Finding the Fourth Proportional to 616.66, 850.78 and 383.77

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Solution

The fourth proportional to 616.66, 850.78 and 383.77 is: 529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.66 : 850.78 = 383.77 : x
  2. Step 2: Convert to fraction form
    616.66/850.78 = 383.77/x
  3. Step 3: Cross multiply
    616.66x = 850.78 × 383.77
  4. Step 4: Simplify right side
    616.66x = 326,497.67
  5. Step 5: Solve for x
    x = 326,497.67/616.66
  6. Step 6: Final answer
    x = 529.47

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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.