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Finding the Fourth Proportional to 714.28, 985.44 and 434.64

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Solution

The fourth proportional to 714.28, 985.44 and 434.64 is: 599.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.28 : 985.44 = 434.64 : x
  2. Step 2: Convert to fraction form
    714.28/985.44 = 434.64/x
  3. Step 3: Cross multiply
    714.28x = 985.44 × 434.64
  4. Step 4: Simplify right side
    714.28x = 428,311.64
  5. Step 5: Solve for x
    x = 428,311.64/714.28
  6. Step 6: Final answer
    x = 599.64

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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.