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Finding the Fourth Proportional to 529.66, 729.09 and 460.54

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Solution

The fourth proportional to 529.66, 729.09 and 460.54 is: 633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.66 : 729.09 = 460.54 : x
  2. Step 2: Convert to fraction form
    529.66/729.09 = 460.54/x
  3. Step 3: Cross multiply
    529.66x = 729.09 × 460.54
  4. Step 4: Simplify right side
    529.66x = 335,775.11
  5. Step 5: Solve for x
    x = 335,775.11/529.66
  6. Step 6: Final answer
    x = 633.94

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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.