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Finding the Fourth Proportional to 529.90, 730.26 and 382.28

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Solution

The fourth proportional to 529.90, 730.26 and 382.28 is: 526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.90 : 730.26 = 382.28 : x
  2. Step 2: Convert to fraction form
    529.90/730.26 = 382.28/x
  3. Step 3: Cross multiply
    529.90x = 730.26 × 382.28
  4. Step 4: Simplify right side
    529.90x = 279,163.79
  5. Step 5: Solve for x
    x = 279,163.79/529.90
  6. Step 6: Final answer
    x = 526.82

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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.