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Finding the Fourth Proportional to 567.84, 851.28 and 324.16

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Solution

The fourth proportional to 567.84, 851.28 and 324.16 is: 485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.84 : 851.28 = 324.16 : x
  2. Step 2: Convert to fraction form
    567.84/851.28 = 324.16/x
  3. Step 3: Cross multiply
    567.84x = 851.28 × 324.16
  4. Step 4: Simplify right side
    567.84x = 275,950.92
  5. Step 5: Solve for x
    x = 275,950.92/567.84
  6. Step 6: Final answer
    x = 485.97

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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.