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Finding the Fourth Proportional to 465.30, 697.86 and 172.80

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Solution

The fourth proportional to 465.30, 697.86 and 172.80 is: 259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.30 : 697.86 = 172.80 : x
  2. Step 2: Convert to fraction form
    465.30/697.86 = 172.80/x
  3. Step 3: Cross multiply
    465.30x = 697.86 × 172.80
  4. Step 4: Simplify right side
    465.30x = 120,590.21
  5. Step 5: Solve for x
    x = 120,590.21/465.30
  6. Step 6: Final answer
    x = 259.17

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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.