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Finding the Fourth Proportional to 715.17, 986.94 and 420.47

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Solution

The fourth proportional to 715.17, 986.94 and 420.47 is: 580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.17 : 986.94 = 420.47 : x
  2. Step 2: Convert to fraction form
    715.17/986.94 = 420.47/x
  3. Step 3: Cross multiply
    715.17x = 986.94 × 420.47
  4. Step 4: Simplify right side
    715.17x = 414,973.73
  5. Step 5: Solve for x
    x = 414,973.73/715.17
  6. Step 6: Final answer
    x = 580.24

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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.