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Finding the Fourth Proportional to 573.84, 859.14 and 381.08

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Solution

The fourth proportional to 573.84, 859.14 and 381.08 is: 570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.84 : 859.14 = 381.08 : x
  2. Step 2: Convert to fraction form
    573.84/859.14 = 381.08/x
  3. Step 3: Cross multiply
    573.84x = 859.14 × 381.08
  4. Step 4: Simplify right side
    573.84x = 327,401.07
  5. Step 5: Solve for x
    x = 327,401.07/573.84
  6. Step 6: Final answer
    x = 570.54

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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.