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Finding the Fourth Proportional to 684.02, 943.08 and 497.36

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Solution

The fourth proportional to 684.02, 943.08 and 497.36 is: 685.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.02 : 943.08 = 497.36 : x
  2. Step 2: Convert to fraction form
    684.02/943.08 = 497.36/x
  3. Step 3: Cross multiply
    684.02x = 943.08 × 497.36
  4. Step 4: Simplify right side
    684.02x = 469,050.27
  5. Step 5: Solve for x
    x = 469,050.27/684.02
  6. Step 6: Final answer
    x = 685.73

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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.