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Finding the Fourth Proportional to 627.76, 941.10 and 302.95

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Solution

The fourth proportional to 627.76, 941.10 and 302.95 is: 454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.76 : 941.10 = 302.95 : x
  2. Step 2: Convert to fraction form
    627.76/941.10 = 302.95/x
  3. Step 3: Cross multiply
    627.76x = 941.10 × 302.95
  4. Step 4: Simplify right side
    627.76x = 285,106.25
  5. Step 5: Solve for x
    x = 285,106.25/627.76
  6. Step 6: Final answer
    x = 454.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.