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Finding the Fourth Proportional to 562.30, 776.06 and 338.25

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Solution

The fourth proportional to 562.30, 776.06 and 338.25 is: 466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.30 : 776.06 = 338.25 : x
  2. Step 2: Convert to fraction form
    562.30/776.06 = 338.25/x
  3. Step 3: Cross multiply
    562.30x = 776.06 × 338.25
  4. Step 4: Simplify right side
    562.30x = 262,502.30
  5. Step 5: Solve for x
    x = 262,502.30/562.30
  6. Step 6: Final answer
    x = 466.84

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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.