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Finding the Fourth Proportional to 529.72, 729.42 and 418.84

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Solution

The fourth proportional to 529.72, 729.42 and 418.84 is: 576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.72 : 729.42 = 418.84 : x
  2. Step 2: Convert to fraction form
    529.72/729.42 = 418.84/x
  3. Step 3: Cross multiply
    529.72x = 729.42 × 418.84
  4. Step 4: Simplify right side
    529.72x = 305,510.27
  5. Step 5: Solve for x
    x = 305,510.27/529.72
  6. Step 6: Final answer
    x = 576.74

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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.