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Finding the Fourth Proportional to 714.98, 986.64 and 420.50

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Solution

The fourth proportional to 714.98, 986.64 and 420.50 is: 580.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.98 : 986.64 = 420.50 : x
  2. Step 2: Convert to fraction form
    714.98/986.64 = 420.50/x
  3. Step 3: Cross multiply
    714.98x = 986.64 × 420.50
  4. Step 4: Simplify right side
    714.98x = 414,882.12
  5. Step 5: Solve for x
    x = 414,882.12/714.98
  6. Step 6: Final answer
    x = 580.27

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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.