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Finding the Fourth Proportional to 714.30, 985.73 and 419.57

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Solution

The fourth proportional to 714.30, 985.73 and 419.57 is: 579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.30 : 985.73 = 419.57 : x
  2. Step 2: Convert to fraction form
    714.30/985.73 = 419.57/x
  3. Step 3: Cross multiply
    714.30x = 985.73 × 419.57
  4. Step 4: Simplify right side
    714.30x = 413,582.74
  5. Step 5: Solve for x
    x = 413,582.74/714.30
  6. Step 6: Final answer
    x = 579.00

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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.