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Finding the Fourth Proportional to 723.52, 999.23 and 461.69

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Solution

The fourth proportional to 723.52, 999.23 and 461.69 is: 637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.52 : 999.23 = 461.69 : x
  2. Step 2: Convert to fraction form
    723.52/999.23 = 461.69/x
  3. Step 3: Cross multiply
    723.52x = 999.23 × 461.69
  4. Step 4: Simplify right side
    723.52x = 461,334.50
  5. Step 5: Solve for x
    x = 461,334.50/723.52
  6. Step 6: Final answer
    x = 637.63

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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.