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Finding the Fourth Proportional to 697.50, 962.21 and 461.39

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Solution

The fourth proportional to 697.50, 962.21 and 461.39 is: 636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.50 : 962.21 = 461.39 : x
  2. Step 2: Convert to fraction form
    697.50/962.21 = 461.39/x
  3. Step 3: Cross multiply
    697.50x = 962.21 × 461.39
  4. Step 4: Simplify right side
    697.50x = 443,946.95
  5. Step 5: Solve for x
    x = 443,946.95/697.50
  6. Step 6: Final answer
    x = 636.48

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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.