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Finding the Fourth Proportional to 558.23, 835.92 and 437.13

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Solution

The fourth proportional to 558.23, 835.92 and 437.13 is: 654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.23 : 835.92 = 437.13 : x
  2. Step 2: Convert to fraction form
    558.23/835.92 = 437.13/x
  3. Step 3: Cross multiply
    558.23x = 835.92 × 437.13
  4. Step 4: Simplify right side
    558.23x = 365,405.71
  5. Step 5: Solve for x
    x = 365,405.71/558.23
  6. Step 6: Final answer
    x = 654.58

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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.