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Finding the Fourth Proportional to 698.24, 1,047.44 and 313.52

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Solution

The fourth proportional to 698.24, 1,047.44 and 313.52 is: 470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.24 : 1,047.44 = 313.52 : x
  2. Step 2: Convert to fraction form
    698.24/1,047.44 = 313.52/x
  3. Step 3: Cross multiply
    698.24x = 1,047.44 × 313.52
  4. Step 4: Simplify right side
    698.24x = 328,393.39
  5. Step 5: Solve for x
    x = 328,393.39/698.24
  6. Step 6: Final answer
    x = 470.32

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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.