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Finding the Fourth Proportional to 562.56, 776.22 and 329.76

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Solution

The fourth proportional to 562.56, 776.22 and 329.76 is: 455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.56 : 776.22 = 329.76 : x
  2. Step 2: Convert to fraction form
    562.56/776.22 = 329.76/x
  3. Step 3: Cross multiply
    562.56x = 776.22 × 329.76
  4. Step 4: Simplify right side
    562.56x = 255,966.31
  5. Step 5: Solve for x
    x = 255,966.31/562.56
  6. Step 6: Final answer
    x = 455.00

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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.