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Finding the Fourth Proportional to 465.29, 642.21 and 418.58

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Solution

The fourth proportional to 465.29, 642.21 and 418.58 is: 577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.29 : 642.21 = 418.58 : x
  2. Step 2: Convert to fraction form
    465.29/642.21 = 418.58/x
  3. Step 3: Cross multiply
    465.29x = 642.21 × 418.58
  4. Step 4: Simplify right side
    465.29x = 268,816.26
  5. Step 5: Solve for x
    x = 268,816.26/465.29
  6. Step 6: Final answer
    x = 577.74

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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.