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Finding the Fourth Proportional to 714.50, 985.86 and 419.80

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Solution

The fourth proportional to 714.50, 985.86 and 419.80 is: 579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.50 : 985.86 = 419.80 : x
  2. Step 2: Convert to fraction form
    714.50/985.86 = 419.80/x
  3. Step 3: Cross multiply
    714.50x = 985.86 × 419.80
  4. Step 4: Simplify right side
    714.50x = 413,864.03
  5. Step 5: Solve for x
    x = 413,864.03/714.50
  6. Step 6: Final answer
    x = 579.24

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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.