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Finding the Fourth Proportional to 465.15, 697.33 and 259.78

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Solution

The fourth proportional to 465.15, 697.33 and 259.78 is: 389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.15 : 697.33 = 259.78 : x
  2. Step 2: Convert to fraction form
    465.15/697.33 = 259.78/x
  3. Step 3: Cross multiply
    465.15x = 697.33 × 259.78
  4. Step 4: Simplify right side
    465.15x = 181,152.39
  5. Step 5: Solve for x
    x = 181,152.39/465.15
  6. Step 6: Final answer
    x = 389.45

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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.