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Finding the Fourth Proportional to 465.77, 642.57 and 279.26

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Solution

The fourth proportional to 465.77, 642.57 and 279.26 is: 385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.77 : 642.57 = 279.26 : x
  2. Step 2: Convert to fraction form
    465.77/642.57 = 279.26/x
  3. Step 3: Cross multiply
    465.77x = 642.57 × 279.26
  4. Step 4: Simplify right side
    465.77x = 179,444.10
  5. Step 5: Solve for x
    x = 179,444.10/465.77
  6. Step 6: Final answer
    x = 385.27

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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.