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Finding the Fourth Proportional to 558.04, 836.36 and 314.74

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Solution

The fourth proportional to 558.04, 836.36 and 314.74 is: 471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.04 : 836.36 = 314.74 : x
  2. Step 2: Convert to fraction form
    558.04/836.36 = 314.74/x
  3. Step 3: Cross multiply
    558.04x = 836.36 × 314.74
  4. Step 4: Simplify right side
    558.04x = 263,235.95
  5. Step 5: Solve for x
    x = 263,235.95/558.04
  6. Step 6: Final answer
    x = 471.72

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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.