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Finding the Fourth Proportional to 497.48, 746.40 and 189.35

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Solution

The fourth proportional to 497.48, 746.40 and 189.35 is: 284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.48 : 746.40 = 189.35 : x
  2. Step 2: Convert to fraction form
    497.48/746.40 = 189.35/x
  3. Step 3: Cross multiply
    497.48x = 746.40 × 189.35
  4. Step 4: Simplify right side
    497.48x = 141,330.84
  5. Step 5: Solve for x
    x = 141,330.84/497.48
  6. Step 6: Final answer
    x = 284.09

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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.