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Finding the Fourth Proportional to 465.86, 642.98 and 355.16

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Solution

The fourth proportional to 465.86, 642.98 and 355.16 is: 490.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.86 : 642.98 = 355.16 : x
  2. Step 2: Convert to fraction form
    465.86/642.98 = 355.16/x
  3. Step 3: Cross multiply
    465.86x = 642.98 × 355.16
  4. Step 4: Simplify right side
    465.86x = 228,360.78
  5. Step 5: Solve for x
    x = 228,360.78/465.86
  6. Step 6: Final answer
    x = 490.19

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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.