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Finding the Fourth Proportional to 714.58, 1,070.97 and 303.24

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Solution

The fourth proportional to 714.58, 1,070.97 and 303.24 is: 454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.58 : 1,070.97 = 303.24 : x
  2. Step 2: Convert to fraction form
    714.58/1,070.97 = 303.24/x
  3. Step 3: Cross multiply
    714.58x = 1,070.97 × 303.24
  4. Step 4: Simplify right side
    714.58x = 324,755.59
  5. Step 5: Solve for x
    x = 324,755.59/714.58
  6. Step 6: Final answer
    x = 454.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.