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Finding the Fourth Proportional to 528.71, 729.66 and 292.71

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Solution

The fourth proportional to 528.71, 729.66 and 292.71 is: 403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.71 : 729.66 = 292.71 : x
  2. Step 2: Convert to fraction form
    528.71/729.66 = 292.71/x
  3. Step 3: Cross multiply
    528.71x = 729.66 × 292.71
  4. Step 4: Simplify right side
    528.71x = 213,579.51
  5. Step 5: Solve for x
    x = 213,579.51/528.71
  6. Step 6: Final answer
    x = 403.97

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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.