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Finding the Fourth Proportional to 573.66, 859.14 and 356.58

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Solution

The fourth proportional to 573.66, 859.14 and 356.58 is: 534.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.66 : 859.14 = 356.58 : x
  2. Step 2: Convert to fraction form
    573.66/859.14 = 356.58/x
  3. Step 3: Cross multiply
    573.66x = 859.14 × 356.58
  4. Step 4: Simplify right side
    573.66x = 306,352.14
  5. Step 5: Solve for x
    x = 306,352.14/573.66
  6. Step 6: Final answer
    x = 534.03

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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.