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Finding the Fourth Proportional to 465.17, 697.37 and 259.74

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Solution

The fourth proportional to 465.17, 697.37 and 259.74 is: 389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.17 : 697.37 = 259.74 : x
  2. Step 2: Convert to fraction form
    465.17/697.37 = 259.74/x
  3. Step 3: Cross multiply
    465.17x = 697.37 × 259.74
  4. Step 4: Simplify right side
    465.17x = 181,133.59
  5. Step 5: Solve for x
    x = 181,133.59/465.17
  6. Step 6: Final answer
    x = 389.40

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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.