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Finding the Fourth Proportional to 573.30, 859.66 and 280.82

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Solution

The fourth proportional to 573.30, 859.66 and 280.82 is: 421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.30 : 859.66 = 280.82 : x
  2. Step 2: Convert to fraction form
    573.30/859.66 = 280.82/x
  3. Step 3: Cross multiply
    573.30x = 859.66 × 280.82
  4. Step 4: Simplify right side
    573.30x = 241,411.17
  5. Step 5: Solve for x
    x = 241,411.17/573.30
  6. Step 6: Final answer
    x = 421.09

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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.