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Finding the Fourth Proportional to 686.62, 947.63 and 421.22

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Solution

The fourth proportional to 686.62, 947.63 and 421.22 is: 581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.62 : 947.63 = 421.22 : x
  2. Step 2: Convert to fraction form
    686.62/947.63 = 421.22/x
  3. Step 3: Cross multiply
    686.62x = 947.63 × 421.22
  4. Step 4: Simplify right side
    686.62x = 399,160.71
  5. Step 5: Solve for x
    x = 399,160.71/686.62
  6. Step 6: Final answer
    x = 581.34

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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.