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Finding the Fourth Proportional to 558.96, 836.72 and 506.16

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Solution

The fourth proportional to 558.96, 836.72 and 506.16 is: 757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.96 : 836.72 = 506.16 : x
  2. Step 2: Convert to fraction form
    558.96/836.72 = 506.16/x
  3. Step 3: Cross multiply
    558.96x = 836.72 × 506.16
  4. Step 4: Simplify right side
    558.96x = 423,514.20
  5. Step 5: Solve for x
    x = 423,514.20/558.96
  6. Step 6: Final answer
    x = 757.68

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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.