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Finding the Fourth Proportional to 465.95, 697.82 and 444.79

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Solution

The fourth proportional to 465.95, 697.82 and 444.79 is: 666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.95 : 697.82 = 444.79 : x
  2. Step 2: Convert to fraction form
    465.95/697.82 = 444.79/x
  3. Step 3: Cross multiply
    465.95x = 697.82 × 444.79
  4. Step 4: Simplify right side
    465.95x = 310,382.01
  5. Step 5: Solve for x
    x = 310,382.01/465.95
  6. Step 6: Final answer
    x = 666.12

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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.