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Finding the Fourth Proportional to 657.50, 986.55 and 292.25

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Solution

The fourth proportional to 657.50, 986.55 and 292.25 is: 438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.50 : 986.55 = 292.25 : x
  2. Step 2: Convert to fraction form
    657.50/986.55 = 292.25/x
  3. Step 3: Cross multiply
    657.50x = 986.55 × 292.25
  4. Step 4: Simplify right side
    657.50x = 288,314.30
  5. Step 5: Solve for x
    x = 288,314.30/657.50
  6. Step 6: Final answer
    x = 438.50

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Half scale
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Double scale
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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.