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Finding the Fourth Proportional to 685.62, 946.25 and 420.22

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Solution

The fourth proportional to 685.62, 946.25 and 420.22 is: 579.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.62 : 946.25 = 420.22 : x
  2. Step 2: Convert to fraction form
    685.62/946.25 = 420.22/x
  3. Step 3: Cross multiply
    685.62x = 946.25 × 420.22
  4. Step 4: Simplify right side
    685.62x = 397,632.06
  5. Step 5: Solve for x
    x = 397,632.06/685.62
  6. Step 6: Final answer
    x = 579.96

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Double scale
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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.