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Finding the Fourth Proportional to 715.22, 986.98 and 400.49

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Solution

The fourth proportional to 715.22, 986.98 and 400.49 is: 552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.22 : 986.98 = 400.49 : x
  2. Step 2: Convert to fraction form
    715.22/986.98 = 400.49/x
  3. Step 3: Cross multiply
    715.22x = 986.98 × 400.49
  4. Step 4: Simplify right side
    715.22x = 395,275.62
  5. Step 5: Solve for x
    x = 395,275.62/715.22
  6. Step 6: Final answer
    x = 552.66

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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.