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Finding the Fourth Proportional to 686.41, 947.21 and 434.05

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Solution

The fourth proportional to 686.41, 947.21 and 434.05 is: 598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.41 : 947.21 = 434.05 : x
  2. Step 2: Convert to fraction form
    686.41/947.21 = 434.05/x
  3. Step 3: Cross multiply
    686.41x = 947.21 × 434.05
  4. Step 4: Simplify right side
    686.41x = 411,136.50
  5. Step 5: Solve for x
    x = 411,136.50/686.41
  6. Step 6: Final answer
    x = 598.97

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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.