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Finding the Fourth Proportional to 722.50, 997.06 and 460.46

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Solution

The fourth proportional to 722.50, 997.06 and 460.46 is: 635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.50 : 997.06 = 460.46 : x
  2. Step 2: Convert to fraction form
    722.50/997.06 = 460.46/x
  3. Step 3: Cross multiply
    722.50x = 997.06 × 460.46
  4. Step 4: Simplify right side
    722.50x = 459,106.25
  5. Step 5: Solve for x
    x = 459,106.25/722.50
  6. Step 6: Final answer
    x = 635.44

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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.