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Finding the Fourth Proportional to 573.07, 859.61 and 465.61

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Solution

The fourth proportional to 573.07, 859.61 and 465.61 is: 698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.07 : 859.61 = 465.61 : x
  2. Step 2: Convert to fraction form
    573.07/859.61 = 465.61/x
  3. Step 3: Cross multiply
    573.07x = 859.61 × 465.61
  4. Step 4: Simplify right side
    573.07x = 400,243.01
  5. Step 5: Solve for x
    x = 400,243.01/573.07
  6. Step 6: Final answer
    x = 698.42

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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.