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Finding the Fourth Proportional to 564.22, 778.91 and 354.70

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Solution

The fourth proportional to 564.22, 778.91 and 354.70 is: 489.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.22 : 778.91 = 354.70 : x
  2. Step 2: Convert to fraction form
    564.22/778.91 = 354.70/x
  3. Step 3: Cross multiply
    564.22x = 778.91 × 354.70
  4. Step 4: Simplify right side
    564.22x = 276,279.38
  5. Step 5: Solve for x
    x = 276,279.38/564.22
  6. Step 6: Final answer
    x = 489.67

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Why These Related Problems?

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