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Finding the Fourth Proportional to 657.50, 986.29 and 292.29

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Solution

The fourth proportional to 657.50, 986.29 and 292.29 is: 438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.50 : 986.29 = 292.29 : x
  2. Step 2: Convert to fraction form
    657.50/986.29 = 292.29/x
  3. Step 3: Cross multiply
    657.50x = 986.29 × 292.29
  4. Step 4: Simplify right side
    657.50x = 288,282.70
  5. Step 5: Solve for x
    x = 288,282.70/657.50
  6. Step 6: Final answer
    x = 438.45

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Double scale
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Similar ratio
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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.