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Finding the Fourth Proportional to 528.34, 791.65 and 322.28

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Solution

The fourth proportional to 528.34, 791.65 and 322.28 is: 482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.34 : 791.65 = 322.28 : x
  2. Step 2: Convert to fraction form
    528.34/791.65 = 322.28/x
  3. Step 3: Cross multiply
    528.34x = 791.65 × 322.28
  4. Step 4: Simplify right side
    528.34x = 255,132.16
  5. Step 5: Solve for x
    x = 255,132.16/528.34
  6. Step 6: Final answer
    x = 482.90

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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.