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Finding the Fourth Proportional to 528.29, 729.53 and 397.07

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Solution

The fourth proportional to 528.29, 729.53 and 397.07 is: 548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.29 : 729.53 = 397.07 : x
  2. Step 2: Convert to fraction form
    528.29/729.53 = 397.07/x
  3. Step 3: Cross multiply
    528.29x = 729.53 × 397.07
  4. Step 4: Simplify right side
    528.29x = 289,674.48
  5. Step 5: Solve for x
    x = 289,674.48/528.29
  6. Step 6: Final answer
    x = 548.32

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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.