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Finding the Fourth Proportional to 529.74, 730.89 and 442.26

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Solution

The fourth proportional to 529.74, 730.89 and 442.26 is: 610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.74 : 730.89 = 442.26 : x
  2. Step 2: Convert to fraction form
    529.74/730.89 = 442.26/x
  3. Step 3: Cross multiply
    529.74x = 730.89 × 442.26
  4. Step 4: Simplify right side
    529.74x = 323,243.41
  5. Step 5: Solve for x
    x = 323,243.41/529.74
  6. Step 6: Final answer
    x = 610.19

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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.