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Finding the Fourth Proportional to 722.51, 997.40 and 473.84

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Solution

The fourth proportional to 722.51, 997.40 and 473.84 is: 654.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.51 : 997.40 = 473.84 : x
  2. Step 2: Convert to fraction form
    722.51/997.40 = 473.84/x
  3. Step 3: Cross multiply
    722.51x = 997.40 × 473.84
  4. Step 4: Simplify right side
    722.51x = 472,608.02
  5. Step 5: Solve for x
    x = 472,608.02/722.51
  6. Step 6: Final answer
    x = 654.12

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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.