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Finding the Fourth Proportional to 642.69, 964.06 and 368.66

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Solution

The fourth proportional to 642.69, 964.06 and 368.66 is: 553.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.69 : 964.06 = 368.66 : x
  2. Step 2: Convert to fraction form
    642.69/964.06 = 368.66/x
  3. Step 3: Cross multiply
    642.69x = 964.06 × 368.66
  4. Step 4: Simplify right side
    642.69x = 355,405.54
  5. Step 5: Solve for x
    x = 355,405.54/642.69
  6. Step 6: Final answer
    x = 553.00

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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.