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Finding the Fourth Proportional to 528.62, 729.37 and 304.58

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Solution

The fourth proportional to 528.62, 729.37 and 304.58 is: 420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.62 : 729.37 = 304.58 : x
  2. Step 2: Convert to fraction form
    528.62/729.37 = 304.58/x
  3. Step 3: Cross multiply
    528.62x = 729.37 × 304.58
  4. Step 4: Simplify right side
    528.62x = 222,151.51
  5. Step 5: Solve for x
    x = 222,151.51/528.62
  6. Step 6: Final answer
    x = 420.25

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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.