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Finding the Fourth Proportional to 642.48, 886.62 and 362.77

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Solution

The fourth proportional to 642.48, 886.62 and 362.77 is: 500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.48 : 886.62 = 362.77 : x
  2. Step 2: Convert to fraction form
    642.48/886.62 = 362.77/x
  3. Step 3: Cross multiply
    642.48x = 886.62 × 362.77
  4. Step 4: Simplify right side
    642.48x = 321,639.14
  5. Step 5: Solve for x
    x = 321,639.14/642.48
  6. Step 6: Final answer
    x = 500.63

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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.