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Finding the Fourth Proportional to 465.84, 643.05 and 300.06

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Solution

The fourth proportional to 465.84, 643.05 and 300.06 is: 414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 643.05 = 300.06 : x
  2. Step 2: Convert to fraction form
    465.84/643.05 = 300.06/x
  3. Step 3: Cross multiply
    465.84x = 643.05 × 300.06
  4. Step 4: Simplify right side
    465.84x = 192,953.58
  5. Step 5: Solve for x
    x = 192,953.58/465.84
  6. Step 6: Final answer
    x = 414.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.