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Finding the Fourth Proportional to 684.40, 943.86 and 497.20

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Solution

The fourth proportional to 684.40, 943.86 and 497.20 is: 685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.40 : 943.86 = 497.20 : x
  2. Step 2: Convert to fraction form
    684.40/943.86 = 497.20/x
  3. Step 3: Cross multiply
    684.40x = 943.86 × 497.20
  4. Step 4: Simplify right side
    684.40x = 469,287.19
  5. Step 5: Solve for x
    x = 469,287.19/684.40
  6. Step 6: Final answer
    x = 685.69

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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.