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Finding the Fourth Proportional to 441.18, 661.98 and 312.01

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Solution

The fourth proportional to 441.18, 661.98 and 312.01 is: 468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.18 : 661.98 = 312.01 : x
  2. Step 2: Convert to fraction form
    441.18/661.98 = 312.01/x
  3. Step 3: Cross multiply
    441.18x = 661.98 × 312.01
  4. Step 4: Simplify right side
    441.18x = 206,543.31
  5. Step 5: Solve for x
    x = 206,543.31/441.18
  6. Step 6: Final answer
    x = 468.17

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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.