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Finding the Fourth Proportional to 715.20, 986.94 and 435.44

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Solution

The fourth proportional to 715.20, 986.94 and 435.44 is: 600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.20 : 986.94 = 435.44 : x
  2. Step 2: Convert to fraction form
    715.20/986.94 = 435.44/x
  3. Step 3: Cross multiply
    715.20x = 986.94 × 435.44
  4. Step 4: Simplify right side
    715.20x = 429,748.22
  5. Step 5: Solve for x
    x = 429,748.22/715.20
  6. Step 6: Final answer
    x = 600.88

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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.