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Finding the Fourth Proportional to 557.29, 835.54 and 210.60

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Solution

The fourth proportional to 557.29, 835.54 and 210.60 is: 315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.29 : 835.54 = 210.60 : x
  2. Step 2: Convert to fraction form
    557.29/835.54 = 210.60/x
  3. Step 3: Cross multiply
    557.29x = 835.54 × 210.60
  4. Step 4: Simplify right side
    557.29x = 175,964.72
  5. Step 5: Solve for x
    x = 175,964.72/557.29
  6. Step 6: Final answer
    x = 315.75

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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.