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Finding the Fourth Proportional to 529.64, 730.94 and 464.04

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Solution

The fourth proportional to 529.64, 730.94 and 464.04 is: 640.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.64 : 730.94 = 464.04 : x
  2. Step 2: Convert to fraction form
    529.64/730.94 = 464.04/x
  3. Step 3: Cross multiply
    529.64x = 730.94 × 464.04
  4. Step 4: Simplify right side
    529.64x = 339,185.40
  5. Step 5: Solve for x
    x = 339,185.40/529.64
  6. Step 6: Final answer
    x = 640.41

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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.