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Finding the Fourth Proportional to 573.53, 859.76 and 208.23

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Solution

The fourth proportional to 573.53, 859.76 and 208.23 is: 312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.53 : 859.76 = 208.23 : x
  2. Step 2: Convert to fraction form
    573.53/859.76 = 208.23/x
  3. Step 3: Cross multiply
    573.53x = 859.76 × 208.23
  4. Step 4: Simplify right side
    573.53x = 179,026.78
  5. Step 5: Solve for x
    x = 179,026.78/573.53
  6. Step 6: Final answer
    x = 312.15

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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.