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Finding the Fourth Proportional to 529.14, 730.26 and 305.10

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Solution

The fourth proportional to 529.14, 730.26 and 305.10 is: 421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.14 : 730.26 = 305.10 : x
  2. Step 2: Convert to fraction form
    529.14/730.26 = 305.10/x
  3. Step 3: Cross multiply
    529.14x = 730.26 × 305.10
  4. Step 4: Simplify right side
    529.14x = 222,802.33
  5. Step 5: Solve for x
    x = 222,802.33/529.14
  6. Step 6: Final answer
    x = 421.06

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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.