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Finding the Fourth Proportional to 557.71, 836.01 and 283.48

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Solution

The fourth proportional to 557.71, 836.01 and 283.48 is: 424.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.71 : 836.01 = 283.48 : x
  2. Step 2: Convert to fraction form
    557.71/836.01 = 283.48/x
  3. Step 3: Cross multiply
    557.71x = 836.01 × 283.48
  4. Step 4: Simplify right side
    557.71x = 236,990.02
  5. Step 5: Solve for x
    x = 236,990.02/557.71
  6. Step 6: Final answer
    x = 424.94

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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.