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Finding the Fourth Proportional to 504.36, 758.39 and 464.27

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Solution

The fourth proportional to 504.36, 758.39 and 464.27 is: 698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.36 : 758.39 = 464.27 : x
  2. Step 2: Convert to fraction form
    504.36/758.39 = 464.27/x
  3. Step 3: Cross multiply
    504.36x = 758.39 × 464.27
  4. Step 4: Simplify right side
    504.36x = 352,091.61
  5. Step 5: Solve for x
    x = 352,091.61/504.36
  6. Step 6: Final answer
    x = 698.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.