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Finding the Fourth Proportional to 715.06, 986.76 and 420.32

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Solution

The fourth proportional to 715.06, 986.76 and 420.32 is: 580.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.06 : 986.76 = 420.32 : x
  2. Step 2: Convert to fraction form
    715.06/986.76 = 420.32/x
  3. Step 3: Cross multiply
    715.06x = 986.76 × 420.32
  4. Step 4: Simplify right side
    715.06x = 414,754.96
  5. Step 5: Solve for x
    x = 414,754.96/715.06
  6. Step 6: Final answer
    x = 580.03

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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.