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Finding the Fourth Proportional to 529.53, 729.27 and 426.56

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Solution

The fourth proportional to 529.53, 729.27 and 426.56 is: 587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.53 : 729.27 = 426.56 : x
  2. Step 2: Convert to fraction form
    529.53/729.27 = 426.56/x
  3. Step 3: Cross multiply
    529.53x = 729.27 × 426.56
  4. Step 4: Simplify right side
    529.53x = 311,073.76
  5. Step 5: Solve for x
    x = 311,073.76/529.53
  6. Step 6: Final answer
    x = 587.46

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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.