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Finding the Fourth Proportional to 574.98, 858.86 and 565.26

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Solution

The fourth proportional to 574.98, 858.86 and 565.26 is: 844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.98 : 858.86 = 565.26 : x
  2. Step 2: Convert to fraction form
    574.98/858.86 = 565.26/x
  3. Step 3: Cross multiply
    574.98x = 858.86 × 565.26
  4. Step 4: Simplify right side
    574.98x = 485,479.20
  5. Step 5: Solve for x
    x = 485,479.20/574.98
  6. Step 6: Final answer
    x = 844.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.