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Finding the Fourth Proportional to 454.14, 678.54 and 336.51

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Solution

The fourth proportional to 454.14, 678.54 and 336.51 is: 502.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.14 : 678.54 = 336.51 : x
  2. Step 2: Convert to fraction form
    454.14/678.54 = 336.51/x
  3. Step 3: Cross multiply
    454.14x = 678.54 × 336.51
  4. Step 4: Simplify right side
    454.14x = 228,335.50
  5. Step 5: Solve for x
    x = 228,335.50/454.14
  6. Step 6: Final answer
    x = 502.79

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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.