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Finding the Fourth Proportional to 714.32, 985.77 and 419.80

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Solution

The fourth proportional to 714.32, 985.77 and 419.80 is: 579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.32 : 985.77 = 419.80 : x
  2. Step 2: Convert to fraction form
    714.32/985.77 = 419.80/x
  3. Step 3: Cross multiply
    714.32x = 985.77 × 419.80
  4. Step 4: Simplify right side
    714.32x = 413,821.32
  5. Step 5: Solve for x
    x = 413,821.32/714.32
  6. Step 6: Final answer
    x = 579.32

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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.