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Finding the Fourth Proportional to 573.24, 859.98 and 208.00

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Solution

The fourth proportional to 573.24, 859.98 and 208.00 is: 312.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.24 : 859.98 = 208.00 : x
  2. Step 2: Convert to fraction form
    573.24/859.98 = 208.00/x
  3. Step 3: Cross multiply
    573.24x = 859.98 × 208.00
  4. Step 4: Simplify right side
    573.24x = 178,877.69
  5. Step 5: Solve for x
    x = 178,877.69/573.24
  6. Step 6: Final answer
    x = 312.04

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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.