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Finding the Fourth Proportional to 558.21, 837.08 and 298.16

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Solution

The fourth proportional to 558.21, 837.08 and 298.16 is: 447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.21 : 837.08 = 298.16 : x
  2. Step 2: Convert to fraction form
    558.21/837.08 = 298.16/x
  3. Step 3: Cross multiply
    558.21x = 837.08 × 298.16
  4. Step 4: Simplify right side
    558.21x = 249,583.77
  5. Step 5: Solve for x
    x = 249,583.77/558.21
  6. Step 6: Final answer
    x = 447.11

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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.