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Finding the Fourth Proportional to 685.08, 945.42 and 401.55

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Solution

The fourth proportional to 685.08, 945.42 and 401.55 is: 554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.08 : 945.42 = 401.55 : x
  2. Step 2: Convert to fraction form
    685.08/945.42 = 401.55/x
  3. Step 3: Cross multiply
    685.08x = 945.42 × 401.55
  4. Step 4: Simplify right side
    685.08x = 379,633.40
  5. Step 5: Solve for x
    x = 379,633.40/685.08
  6. Step 6: Final answer
    x = 554.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.