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Finding the Fourth Proportional to 349.99, 524.07 and 294.50

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Solution

The fourth proportional to 349.99, 524.07 and 294.50 is: 440.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.99 : 524.07 = 294.50 : x
  2. Step 2: Convert to fraction form
    349.99/524.07 = 294.50/x
  3. Step 3: Cross multiply
    349.99x = 524.07 × 294.50
  4. Step 4: Simplify right side
    349.99x = 154,339.93
  5. Step 5: Solve for x
    x = 154,339.93/349.99
  6. Step 6: Final answer
    x = 440.99

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Double scale
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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.