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Finding the Fourth Proportional to 562.75, 776.60 and 329.88

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Solution

The fourth proportional to 562.75, 776.60 and 329.88 is: 455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.75 : 776.60 = 329.88 : x
  2. Step 2: Convert to fraction form
    562.75/776.60 = 329.88/x
  3. Step 3: Cross multiply
    562.75x = 776.60 × 329.88
  4. Step 4: Simplify right side
    562.75x = 256,184.81
  5. Step 5: Solve for x
    x = 256,184.81/562.75
  6. Step 6: Final answer
    x = 455.24

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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.