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Finding the Fourth Proportional to 735.81, 1,015.40 and 404.23

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Solution

The fourth proportional to 735.81, 1,015.40 and 404.23 is: 557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.81 : 1,015.40 = 404.23 : x
  2. Step 2: Convert to fraction form
    735.81/1,015.40 = 404.23/x
  3. Step 3: Cross multiply
    735.81x = 1,015.40 × 404.23
  4. Step 4: Simplify right side
    735.81x = 410,454.13
  5. Step 5: Solve for x
    x = 410,454.13/735.81
  6. Step 6: Final answer
    x = 557.82

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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.