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Finding the Fourth Proportional to 557.91, 770.34 and 371.79

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Solution

The fourth proportional to 557.91, 770.34 and 371.79 is: 513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.91 : 770.34 = 371.79 : x
  2. Step 2: Convert to fraction form
    557.91/770.34 = 371.79/x
  3. Step 3: Cross multiply
    557.91x = 770.34 × 371.79
  4. Step 4: Simplify right side
    557.91x = 286,404.71
  5. Step 5: Solve for x
    x = 286,404.71/557.91
  6. Step 6: Final answer
    x = 513.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.