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Finding the Fourth Proportional to 657.75, 986.84 and 246.93

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Solution

The fourth proportional to 657.75, 986.84 and 246.93 is: 370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.75 : 986.84 = 246.93 : x
  2. Step 2: Convert to fraction form
    657.75/986.84 = 246.93/x
  3. Step 3: Cross multiply
    657.75x = 986.84 × 246.93
  4. Step 4: Simplify right side
    657.75x = 243,679.17
  5. Step 5: Solve for x
    x = 243,679.17/657.75
  6. Step 6: Final answer
    x = 370.47

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1.5x scale

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.