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Finding the Fourth Proportional to 517.56, 775.56 and 322.02

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Solution

The fourth proportional to 517.56, 775.56 and 322.02 is: 482.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.56 : 775.56 = 322.02 : x
  2. Step 2: Convert to fraction form
    517.56/775.56 = 322.02/x
  3. Step 3: Cross multiply
    517.56x = 775.56 × 322.02
  4. Step 4: Simplify right side
    517.56x = 249,745.83
  5. Step 5: Solve for x
    x = 249,745.83/517.56
  6. Step 6: Final answer
    x = 482.54

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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.