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Finding the Fourth Proportional to 349.68, 524.61 and 305.94

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Solution

The fourth proportional to 349.68, 524.61 and 305.94 is: 458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.68 : 524.61 = 305.94 : x
  2. Step 2: Convert to fraction form
    349.68/524.61 = 305.94/x
  3. Step 3: Cross multiply
    349.68x = 524.61 × 305.94
  4. Step 4: Simplify right side
    349.68x = 160,499.18
  5. Step 5: Solve for x
    x = 160,499.18/349.68
  6. Step 6: Final answer
    x = 458.99

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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.