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Finding the Fourth Proportional to 557.19, 836.56 and 283.47

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Solution

The fourth proportional to 557.19, 836.56 and 283.47 is: 425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.19 : 836.56 = 283.47 : x
  2. Step 2: Convert to fraction form
    557.19/836.56 = 283.47/x
  3. Step 3: Cross multiply
    557.19x = 836.56 × 283.47
  4. Step 4: Simplify right side
    557.19x = 237,138.25
  5. Step 5: Solve for x
    x = 237,138.25/557.19
  6. Step 6: Final answer
    x = 425.60

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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.