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Finding the Fourth Proportional to 641.84, 963.98 and 368.46

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Solution

The fourth proportional to 641.84, 963.98 and 368.46 is: 553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.84 : 963.98 = 368.46 : x
  2. Step 2: Convert to fraction form
    641.84/963.98 = 368.46/x
  3. Step 3: Cross multiply
    641.84x = 963.98 × 368.46
  4. Step 4: Simplify right side
    641.84x = 355,186.23
  5. Step 5: Solve for x
    x = 355,186.23/641.84
  6. Step 6: Final answer
    x = 553.39

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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.