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Finding the Fourth Proportional to 497.14, 751.34 and 491.67

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Solution

The fourth proportional to 497.14, 751.34 and 491.67 is: 743.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.14 : 751.34 = 491.67 : x
  2. Step 2: Convert to fraction form
    497.14/751.34 = 491.67/x
  3. Step 3: Cross multiply
    497.14x = 751.34 × 491.67
  4. Step 4: Simplify right side
    497.14x = 369,412.57
  5. Step 5: Solve for x
    x = 369,412.57/497.14
  6. Step 6: Final answer
    x = 743.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.