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Finding the Fourth Proportional to 684.41, 944.16 and 497.81

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Solution

The fourth proportional to 684.41, 944.16 and 497.81 is: 686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.41 : 944.16 = 497.81 : x
  2. Step 2: Convert to fraction form
    684.41/944.16 = 497.81/x
  3. Step 3: Cross multiply
    684.41x = 944.16 × 497.81
  4. Step 4: Simplify right side
    684.41x = 470,012.78
  5. Step 5: Solve for x
    x = 470,012.78/684.41
  6. Step 6: Final answer
    x = 686.75

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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.