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Finding the Fourth Proportional to 573.10, 859.66 and 183.10

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Solution

The fourth proportional to 573.10, 859.66 and 183.10 is: 274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.10 : 859.66 = 183.10 : x
  2. Step 2: Convert to fraction form
    573.10/859.66 = 183.10/x
  3. Step 3: Cross multiply
    573.10x = 859.66 × 183.10
  4. Step 4: Simplify right side
    573.10x = 157,406.20
  5. Step 5: Solve for x
    x = 157,406.20/573.10
  6. Step 6: Final answer
    x = 274.66

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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.