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Finding the Fourth Proportional to 559.06, 838.62 and 429.26

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Solution

The fourth proportional to 559.06, 838.62 and 429.26 is: 643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.06 : 838.62 = 429.26 : x
  2. Step 2: Convert to fraction form
    559.06/838.62 = 429.26/x
  3. Step 3: Cross multiply
    559.06x = 838.62 × 429.26
  4. Step 4: Simplify right side
    559.06x = 359,986.02
  5. Step 5: Solve for x
    x = 359,986.02/559.06
  6. Step 6: Final answer
    x = 643.91

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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.