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Finding the Fourth Proportional to 576.86, 864.54 and 455.36

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Solution

The fourth proportional to 576.86, 864.54 and 455.36 is: 682.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.86 : 864.54 = 455.36 : x
  2. Step 2: Convert to fraction form
    576.86/864.54 = 455.36/x
  3. Step 3: Cross multiply
    576.86x = 864.54 × 455.36
  4. Step 4: Simplify right side
    576.86x = 393,672.61
  5. Step 5: Solve for x
    x = 393,672.61/576.86
  6. Step 6: Final answer
    x = 682.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.