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Finding the Fourth Proportional to 657.84, 986.32 and 310.71

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Solution

The fourth proportional to 657.84, 986.32 and 310.71 is: 465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.84 : 986.32 = 310.71 : x
  2. Step 2: Convert to fraction form
    657.84/986.32 = 310.71/x
  3. Step 3: Cross multiply
    657.84x = 986.32 × 310.71
  4. Step 4: Simplify right side
    657.84x = 306,459.49
  5. Step 5: Solve for x
    x = 306,459.49/657.84
  6. Step 6: Final answer
    x = 465.86

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Why These Related Problems?

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