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Finding the Fourth Proportional to 627.48, 941.22 and 497.34

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Solution

The fourth proportional to 627.48, 941.22 and 497.34 is: 746.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.48 : 941.22 = 497.34 : x
  2. Step 2: Convert to fraction form
    627.48/941.22 = 497.34/x
  3. Step 3: Cross multiply
    627.48x = 941.22 × 497.34
  4. Step 4: Simplify right side
    627.48x = 468,106.35
  5. Step 5: Solve for x
    x = 468,106.35/627.48
  6. Step 6: Final answer
    x = 746.01

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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.