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Finding the Fourth Proportional to 334, 497.68 and 297.66

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Solution

The fourth proportional to 334, 497.68 and 297.66 is: 443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    334 : 497.68 = 297.66 : x
  2. Step 2: Convert to fraction form
    334/497.68 = 297.66/x
  3. Step 3: Cross multiply
    334x = 497.68 × 297.66
  4. Step 4: Simplify right side
    334x = 148,139.43
  5. Step 5: Solve for x
    x = 148,139.43/334
  6. Step 6: Final answer
    x = 443.53

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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.