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Finding the Fourth Proportional to 715.19, 986.96 and 400.46

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Solution

The fourth proportional to 715.19, 986.96 and 400.46 is: 552.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.19 : 986.96 = 400.46 : x
  2. Step 2: Convert to fraction form
    715.19/986.96 = 400.46/x
  3. Step 3: Cross multiply
    715.19x = 986.96 × 400.46
  4. Step 4: Simplify right side
    715.19x = 395,234.07
  5. Step 5: Solve for x
    x = 395,234.07/715.19
  6. Step 6: Final answer
    x = 552.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.