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Finding the Fourth Proportional to 657.86, 985.98 and 349.79

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Solution

The fourth proportional to 657.86, 985.98 and 349.79 is: 524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.86 : 985.98 = 349.79 : x
  2. Step 2: Convert to fraction form
    657.86/985.98 = 349.79/x
  3. Step 3: Cross multiply
    657.86x = 985.98 × 349.79
  4. Step 4: Simplify right side
    657.86x = 344,885.94
  5. Step 5: Solve for x
    x = 344,885.94/657.86
  6. Step 6: Final answer
    x = 524.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.