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Finding the Fourth Proportional to 685.26, 946.06 and 498.56

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Solution

The fourth proportional to 685.26, 946.06 and 498.56 is: 688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.26 : 946.06 = 498.56 : x
  2. Step 2: Convert to fraction form
    685.26/946.06 = 498.56/x
  3. Step 3: Cross multiply
    685.26x = 946.06 × 498.56
  4. Step 4: Simplify right side
    685.26x = 471,661.70
  5. Step 5: Solve for x
    x = 471,661.70/685.26
  6. Step 6: Final answer
    x = 688.30

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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.