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Finding the Fourth Proportional to 465.16, 641.09 and 382.00

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Solution

The fourth proportional to 465.16, 641.09 and 382.00 is: 526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.16 : 641.09 = 382.00 : x
  2. Step 2: Convert to fraction form
    465.16/641.09 = 382.00/x
  3. Step 3: Cross multiply
    465.16x = 641.09 × 382.00
  4. Step 4: Simplify right side
    465.16x = 244,899.74
  5. Step 5: Solve for x
    x = 244,899.74/465.16
  6. Step 6: Final answer
    x = 526.48

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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.