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Finding the Fourth Proportional to 576.30, 784.74 and 576.30

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Solution

The fourth proportional to 576.30, 784.74 and 576.30 is: 784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.30 : 784.74 = 576.30 : x
  2. Step 2: Convert to fraction form
    576.30/784.74 = 576.30/x
  3. Step 3: Cross multiply
    576.30x = 784.74 × 576.30
  4. Step 4: Simplify right side
    576.30x = 452,245.66
  5. Step 5: Solve for x
    x = 452,245.66/576.30
  6. Step 6: Final answer
    x = 784.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.