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Finding the Fourth Proportional to 559.09, 770.88 and 461.08

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Solution

The fourth proportional to 559.09, 770.88 and 461.08 is: 635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.09 : 770.88 = 461.08 : x
  2. Step 2: Convert to fraction form
    559.09/770.88 = 461.08/x
  3. Step 3: Cross multiply
    559.09x = 770.88 × 461.08
  4. Step 4: Simplify right side
    559.09x = 355,437.35
  5. Step 5: Solve for x
    x = 355,437.35/559.09
  6. Step 6: Final answer
    x = 635.74

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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.