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Finding the Fourth Proportional to 573.02, 859.17 and 316.70

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Solution

The fourth proportional to 573.02, 859.17 and 316.70 is: 474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.02 : 859.17 = 316.70 : x
  2. Step 2: Convert to fraction form
    573.02/859.17 = 316.70/x
  3. Step 3: Cross multiply
    573.02x = 859.17 × 316.70
  4. Step 4: Simplify right side
    573.02x = 272,099.14
  5. Step 5: Solve for x
    x = 272,099.14/573.02
  6. Step 6: Final answer
    x = 474.85

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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.