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Finding the Fourth Proportional to 573.30, 858.87 and 380.52

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Solution

The fourth proportional to 573.30, 858.87 and 380.52 is: 570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.30 : 858.87 = 380.52 : x
  2. Step 2: Convert to fraction form
    573.30/858.87 = 380.52/x
  3. Step 3: Cross multiply
    573.30x = 858.87 × 380.52
  4. Step 4: Simplify right side
    573.30x = 326,817.21
  5. Step 5: Solve for x
    x = 326,817.21/573.30
  6. Step 6: Final answer
    x = 570.06

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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.