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Finding the Fourth Proportional to 722.25, 996.46 and 407.45

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Solution

The fourth proportional to 722.25, 996.46 and 407.45 is: 562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.25 : 996.46 = 407.45 : x
  2. Step 2: Convert to fraction form
    722.25/996.46 = 407.45/x
  3. Step 3: Cross multiply
    722.25x = 996.46 × 407.45
  4. Step 4: Simplify right side
    722.25x = 406,009.10
  5. Step 5: Solve for x
    x = 406,009.10/722.25
  6. Step 6: Final answer
    x = 562.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.