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Finding the Fourth Proportional to 645.95, 968.10 and 275.36

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Solution

The fourth proportional to 645.95, 968.10 and 275.36 is: 412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.95 : 968.10 = 275.36 : x
  2. Step 2: Convert to fraction form
    645.95/968.10 = 275.36/x
  3. Step 3: Cross multiply
    645.95x = 968.10 × 275.36
  4. Step 4: Simplify right side
    645.95x = 266,571.18
  5. Step 5: Solve for x
    x = 266,571.18/645.95
  6. Step 6: Final answer
    x = 412.68

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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.