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Finding the Fourth Proportional to 840.42, 1,259.55 and 353.22

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Solution

The fourth proportional to 840.42, 1,259.55 and 353.22 is: 529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.42 : 1,259.55 = 353.22 : x
  2. Step 2: Convert to fraction form
    840.42/1,259.55 = 353.22/x
  3. Step 3: Cross multiply
    840.42x = 1,259.55 × 353.22
  4. Step 4: Simplify right side
    840.42x = 444,898.25
  5. Step 5: Solve for x
    x = 444,898.25/840.42
  6. Step 6: Final answer
    x = 529.38

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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.