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Finding the Fourth Proportional to 557.23, 835.57 and 210.30

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Solution

The fourth proportional to 557.23, 835.57 and 210.30 is: 315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.23 : 835.57 = 210.30 : x
  2. Step 2: Convert to fraction form
    557.23/835.57 = 210.30/x
  3. Step 3: Cross multiply
    557.23x = 835.57 × 210.30
  4. Step 4: Simplify right side
    557.23x = 175,716.32
  5. Step 5: Solve for x
    x = 175,716.32/557.23
  6. Step 6: Final answer
    x = 315.34

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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.