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Finding the Fourth Proportional to 722.32, 997 and 427.60

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Solution

The fourth proportional to 722.32, 997 and 427.60 is: 590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.32 : 997 = 427.60 : x
  2. Step 2: Convert to fraction form
    722.32/997 = 427.60/x
  3. Step 3: Cross multiply
    722.32x = 997 × 427.60
  4. Step 4: Simplify right side
    722.32x = 426,317.20
  5. Step 5: Solve for x
    x = 426,317.20/722.32
  6. Step 6: Final answer
    x = 590.21

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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.