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Finding the Fourth Proportional to 529.55, 730.24 and 363.77

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Solution

The fourth proportional to 529.55, 730.24 and 363.77 is: 501.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.55 : 730.24 = 363.77 : x
  2. Step 2: Convert to fraction form
    529.55/730.24 = 363.77/x
  3. Step 3: Cross multiply
    529.55x = 730.24 × 363.77
  4. Step 4: Simplify right side
    529.55x = 265,639.40
  5. Step 5: Solve for x
    x = 265,639.40/529.55
  6. Step 6: Final answer
    x = 501.63

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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.