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Finding the Fourth Proportional to 562.39, 775.96 and 352.67

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Solution

The fourth proportional to 562.39, 775.96 and 352.67 is: 486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.39 : 775.96 = 352.67 : x
  2. Step 2: Convert to fraction form
    562.39/775.96 = 352.67/x
  3. Step 3: Cross multiply
    562.39x = 775.96 × 352.67
  4. Step 4: Simplify right side
    562.39x = 273,656.05
  5. Step 5: Solve for x
    x = 273,656.05/562.39
  6. Step 6: Final answer
    x = 486.59

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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.