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Finding the Fourth Proportional to 336.54, 505.98 and 294.06

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Solution

The fourth proportional to 336.54, 505.98 and 294.06 is: 442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.54 : 505.98 = 294.06 : x
  2. Step 2: Convert to fraction form
    336.54/505.98 = 294.06/x
  3. Step 3: Cross multiply
    336.54x = 505.98 × 294.06
  4. Step 4: Simplify right side
    336.54x = 148,788.48
  5. Step 5: Solve for x
    x = 148,788.48/336.54
  6. Step 6: Final answer
    x = 442.11

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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.