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Finding the Fourth Proportional to 465.75, 642.33 and 377.06

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Solution

The fourth proportional to 465.75, 642.33 and 377.06 is: 520.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.75 : 642.33 = 377.06 : x
  2. Step 2: Convert to fraction form
    465.75/642.33 = 377.06/x
  3. Step 3: Cross multiply
    465.75x = 642.33 × 377.06
  4. Step 4: Simplify right side
    465.75x = 242,193.74
  5. Step 5: Solve for x
    x = 242,193.74/465.75
  6. Step 6: Final answer
    x = 520.01

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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.