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Finding the Fourth Proportional to 722.30, 996.69 and 427.58

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Solution

The fourth proportional to 722.30, 996.69 and 427.58 is: 590.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.30 : 996.69 = 427.58 : x
  2. Step 2: Convert to fraction form
    722.30/996.69 = 427.58/x
  3. Step 3: Cross multiply
    722.30x = 996.69 × 427.58
  4. Step 4: Simplify right side
    722.30x = 426,164.71
  5. Step 5: Solve for x
    x = 426,164.71/722.30
  6. Step 6: Final answer
    x = 590.01

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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.