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Finding the Fourth Proportional to 714.80, 986.43 and 420.10

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Solution

The fourth proportional to 714.80, 986.43 and 420.10 is: 579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.80 : 986.43 = 420.10 : x
  2. Step 2: Convert to fraction form
    714.80/986.43 = 420.10/x
  3. Step 3: Cross multiply
    714.80x = 986.43 × 420.10
  4. Step 4: Simplify right side
    714.80x = 414,399.24
  5. Step 5: Solve for x
    x = 414,399.24/714.80
  6. Step 6: Final answer
    x = 579.74

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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.