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Finding the Fourth Proportional to 558.64, 837.16 and 330.16

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Solution

The fourth proportional to 558.64, 837.16 and 330.16 is: 494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.64 : 837.16 = 330.16 : x
  2. Step 2: Convert to fraction form
    558.64/837.16 = 330.16/x
  3. Step 3: Cross multiply
    558.64x = 837.16 × 330.16
  4. Step 4: Simplify right side
    558.64x = 276,396.75
  5. Step 5: Solve for x
    x = 276,396.75/558.64
  6. Step 6: Final answer
    x = 494.77

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Why These Related Problems?

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