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Finding the Fourth Proportional to 562.48, 776.16 and 338.32

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Solution

The fourth proportional to 562.48, 776.16 and 338.32 is: 466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.48 : 776.16 = 338.32 : x
  2. Step 2: Convert to fraction form
    562.48/776.16 = 338.32/x
  3. Step 3: Cross multiply
    562.48x = 776.16 × 338.32
  4. Step 4: Simplify right side
    562.48x = 262,590.45
  5. Step 5: Solve for x
    x = 262,590.45/562.48
  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.