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Finding the Fourth Proportional to 497.10, 741.44 and 468.54

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Solution

The fourth proportional to 497.10, 741.44 and 468.54 is: 698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.10 : 741.44 = 468.54 : x
  2. Step 2: Convert to fraction form
    497.10/741.44 = 468.54/x
  3. Step 3: Cross multiply
    497.10x = 741.44 × 468.54
  4. Step 4: Simplify right side
    497.10x = 347,391.95
  5. Step 5: Solve for x
    x = 347,391.95/497.10
  6. Step 6: Final answer
    x = 698.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.