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Finding the Fourth Proportional to 575.58, 863.16 and 210.26

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Solution

The fourth proportional to 575.58, 863.16 and 210.26 is: 315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.58 : 863.16 = 210.26 : x
  2. Step 2: Convert to fraction form
    575.58/863.16 = 210.26/x
  3. Step 3: Cross multiply
    575.58x = 863.16 × 210.26
  4. Step 4: Simplify right side
    575.58x = 181,488.02
  5. Step 5: Solve for x
    x = 181,488.02/575.58
  6. Step 6: Final answer
    x = 315.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.