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Finding the Fourth Proportional to 528.10, 791.64 and 470.06

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Solution

The fourth proportional to 528.10, 791.64 and 470.06 is: 704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.10 : 791.64 = 470.06 : x
  2. Step 2: Convert to fraction form
    528.10/791.64 = 470.06/x
  3. Step 3: Cross multiply
    528.10x = 791.64 × 470.06
  4. Step 4: Simplify right side
    528.10x = 372,118.30
  5. Step 5: Solve for x
    x = 372,118.30/528.10
  6. Step 6: Final answer
    x = 704.64

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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.