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Finding the Fourth Proportional to 562.83, 776.73 and 352.94

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Solution

The fourth proportional to 562.83, 776.73 and 352.94 is: 487.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.83 : 776.73 = 352.94 : x
  2. Step 2: Convert to fraction form
    562.83/776.73 = 352.94/x
  3. Step 3: Cross multiply
    562.83x = 776.73 × 352.94
  4. Step 4: Simplify right side
    562.83x = 274,135.20
  5. Step 5: Solve for x
    x = 274,135.20/562.83
  6. Step 6: Final answer
    x = 487.07

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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.