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Finding the Fourth Proportional to 465.36, 643.08 and 386.58

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Solution

The fourth proportional to 465.36, 643.08 and 386.58 is: 534.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.36 : 643.08 = 386.58 : x
  2. Step 2: Convert to fraction form
    465.36/643.08 = 386.58/x
  3. Step 3: Cross multiply
    465.36x = 643.08 × 386.58
  4. Step 4: Simplify right side
    465.36x = 248,601.87
  5. Step 5: Solve for x
    x = 248,601.87/465.36
  6. Step 6: Final answer
    x = 534.21

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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.