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Finding the Fourth Proportional to 528.51, 729.66 and 362.97

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Solution

The fourth proportional to 528.51, 729.66 and 362.97 is: 501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.51 : 729.66 = 362.97 : x
  2. Step 2: Convert to fraction form
    528.51/729.66 = 362.97/x
  3. Step 3: Cross multiply
    528.51x = 729.66 × 362.97
  4. Step 4: Simplify right side
    528.51x = 264,844.01
  5. Step 5: Solve for x
    x = 264,844.01/528.51
  6. Step 6: Final answer
    x = 501.11

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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.