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Finding the Fourth Proportional to 715.29, 986.82 and 420.45

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Solution

The fourth proportional to 715.29, 986.82 and 420.45 is: 580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.29 : 986.82 = 420.45 : x
  2. Step 2: Convert to fraction form
    715.29/986.82 = 420.45/x
  3. Step 3: Cross multiply
    715.29x = 986.82 × 420.45
  4. Step 4: Simplify right side
    715.29x = 414,908.47
  5. Step 5: Solve for x
    x = 414,908.47/715.29
  6. Step 6: Final answer
    x = 580.06

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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.