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Finding the Fourth Proportional to 573.43, 859.73 and 463.88

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Solution

The fourth proportional to 573.43, 859.73 and 463.88 is: 695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.43 : 859.73 = 463.88 : x
  2. Step 2: Convert to fraction form
    573.43/859.73 = 463.88/x
  3. Step 3: Cross multiply
    573.43x = 859.73 × 463.88
  4. Step 4: Simplify right side
    573.43x = 398,806.09
  5. Step 5: Solve for x
    x = 398,806.09/573.43
  6. Step 6: Final answer
    x = 695.48

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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.