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Finding the Fourth Proportional to 464.35, 695.91 and 259.01

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Solution

The fourth proportional to 464.35, 695.91 and 259.01 is: 388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.35 : 695.91 = 259.01 : x
  2. Step 2: Convert to fraction form
    464.35/695.91 = 259.01/x
  3. Step 3: Cross multiply
    464.35x = 695.91 × 259.01
  4. Step 4: Simplify right side
    464.35x = 180,249.39
  5. Step 5: Solve for x
    x = 180,249.39/464.35
  6. Step 6: Final answer
    x = 388.18

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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.