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Finding the Fourth Proportional to 720.07, 993.44 and 471.53

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Solution

The fourth proportional to 720.07, 993.44 and 471.53 is: 650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.07 : 993.44 = 471.53 : x
  2. Step 2: Convert to fraction form
    720.07/993.44 = 471.53/x
  3. Step 3: Cross multiply
    720.07x = 993.44 × 471.53
  4. Step 4: Simplify right side
    720.07x = 468,436.76
  5. Step 5: Solve for x
    x = 468,436.76/720.07
  6. Step 6: Final answer
    x = 650.54

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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.