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Finding the Fourth Proportional to 715.10, 986.90 and 420.41

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Solution

The fourth proportional to 715.10, 986.90 and 420.41 is: 580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.10 : 986.90 = 420.41 : x
  2. Step 2: Convert to fraction form
    715.10/986.90 = 420.41/x
  3. Step 3: Cross multiply
    715.10x = 986.90 × 420.41
  4. Step 4: Simplify right side
    715.10x = 414,902.99
  5. Step 5: Solve for x
    x = 414,902.99/715.10
  6. Step 6: Final answer
    x = 580.21

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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.