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Finding the Fourth Proportional to 528.96, 730.13 and 363.40

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Solution

The fourth proportional to 528.96, 730.13 and 363.40 is: 501.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.96 : 730.13 = 363.40 : x
  2. Step 2: Convert to fraction form
    528.96/730.13 = 363.40/x
  3. Step 3: Cross multiply
    528.96x = 730.13 × 363.40
  4. Step 4: Simplify right side
    528.96x = 265,329.24
  5. Step 5: Solve for x
    x = 265,329.24/528.96
  6. Step 6: Final answer
    x = 501.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.