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Finding the Fourth Proportional to 465.14, 697.68 and 259.08

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Solution

The fourth proportional to 465.14, 697.68 and 259.08 is: 388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.14 : 697.68 = 259.08 : x
  2. Step 2: Convert to fraction form
    465.14/697.68 = 259.08/x
  3. Step 3: Cross multiply
    465.14x = 697.68 × 259.08
  4. Step 4: Simplify right side
    465.14x = 180,754.93
  5. Step 5: Solve for x
    x = 180,754.93/465.14
  6. Step 6: Final answer
    x = 388.60

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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.