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Finding the Fourth Proportional to 464.37, 697.24 and 259.34

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Solution

The fourth proportional to 464.37, 697.24 and 259.34 is: 389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.37 : 697.24 = 259.34 : x
  2. Step 2: Convert to fraction form
    464.37/697.24 = 259.34/x
  3. Step 3: Cross multiply
    464.37x = 697.24 × 259.34
  4. Step 4: Simplify right side
    464.37x = 180,822.22
  5. Step 5: Solve for x
    x = 180,822.22/464.37
  6. Step 6: Final answer
    x = 389.39

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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.