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Finding the Fourth Proportional to 557.64, 836.74 and 228.82

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Solution

The fourth proportional to 557.64, 836.74 and 228.82 is: 343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.64 : 836.74 = 228.82 : x
  2. Step 2: Convert to fraction form
    557.64/836.74 = 228.82/x
  3. Step 3: Cross multiply
    557.64x = 836.74 × 228.82
  4. Step 4: Simplify right side
    557.64x = 191,457.52
  5. Step 5: Solve for x
    x = 191,457.52/557.64
  6. Step 6: Final answer
    x = 343.34

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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.