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Finding the Fourth Proportional to 686.25, 947.27 and 410.25

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Solution

The fourth proportional to 686.25, 947.27 and 410.25 is: 566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.25 : 947.27 = 410.25 : x
  2. Step 2: Convert to fraction form
    686.25/947.27 = 410.25/x
  3. Step 3: Cross multiply
    686.25x = 947.27 × 410.25
  4. Step 4: Simplify right side
    686.25x = 388,615.47
  5. Step 5: Solve for x
    x = 388,615.47/686.25
  6. Step 6: Final answer
    x = 566.29

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Similar ratio
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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.