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Finding the Fourth Proportional to 840.33, 1,259.70 and 292.38

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Solution

The fourth proportional to 840.33, 1,259.70 and 292.38 is: 438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.33 : 1,259.70 = 292.38 : x
  2. Step 2: Convert to fraction form
    840.33/1,259.70 = 292.38/x
  3. Step 3: Cross multiply
    840.33x = 1,259.70 × 292.38
  4. Step 4: Simplify right side
    840.33x = 368,311.09
  5. Step 5: Solve for x
    x = 368,311.09/840.33
  6. Step 6: Final answer
    x = 438.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.