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Finding the Fourth Proportional to 685.70, 946.24 and 390.96

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Solution

The fourth proportional to 685.70, 946.24 and 390.96 is: 539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.70 : 946.24 = 390.96 : x
  2. Step 2: Convert to fraction form
    685.70/946.24 = 390.96/x
  3. Step 3: Cross multiply
    685.70x = 946.24 × 390.96
  4. Step 4: Simplify right side
    685.70x = 369,941.99
  5. Step 5: Solve for x
    x = 369,941.99/685.70
  6. Step 6: Final answer
    x = 539.51

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.