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Finding the Fourth Proportional to 465.84, 697.80 and 273

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Solution

The fourth proportional to 465.84, 697.80 and 273 is: 408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 697.80 = 273 : x
  2. Step 2: Convert to fraction form
    465.84/697.80 = 273/x
  3. Step 3: Cross multiply
    465.84x = 697.80 × 273
  4. Step 4: Simplify right side
    465.84x = 190,499.40
  5. Step 5: Solve for x
    x = 190,499.40/465.84
  6. Step 6: Final answer
    x = 408.94

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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.