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Finding the Fourth Proportional to 528.72, 792.26 and 322.98

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Solution

The fourth proportional to 528.72, 792.26 and 322.98 is: 483.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.72 : 792.26 = 322.98 : x
  2. Step 2: Convert to fraction form
    528.72/792.26 = 322.98/x
  3. Step 3: Cross multiply
    528.72x = 792.26 × 322.98
  4. Step 4: Simplify right side
    528.72x = 255,884.13
  5. Step 5: Solve for x
    x = 255,884.13/528.72
  6. Step 6: Final answer
    x = 483.97

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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.