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Finding the Fourth Proportional to 576.18, 798.56 and 567.54

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Solution

The fourth proportional to 576.18, 798.56 and 567.54 is: 786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.18 : 798.56 = 567.54 : x
  2. Step 2: Convert to fraction form
    576.18/798.56 = 567.54/x
  3. Step 3: Cross multiply
    576.18x = 798.56 × 567.54
  4. Step 4: Simplify right side
    576.18x = 453,214.03
  5. Step 5: Solve for x
    x = 453,214.03/576.18
  6. Step 6: Final answer
    x = 786.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.