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Finding the Fourth Proportional to 573.19, 859.88 and 208.01

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Solution

The fourth proportional to 573.19, 859.88 and 208.01 is: 312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.19 : 859.88 = 208.01 : x
  2. Step 2: Convert to fraction form
    573.19/859.88 = 208.01/x
  3. Step 3: Cross multiply
    573.19x = 859.88 × 208.01
  4. Step 4: Simplify right side
    573.19x = 178,866.31
  5. Step 5: Solve for x
    x = 178,866.31/573.19
  6. Step 6: Final answer
    x = 312.06

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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.