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Finding the Fourth Proportional to 384.08, 573.14 and 349.58

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Solution

The fourth proportional to 384.08, 573.14 and 349.58 is: 521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.08 : 573.14 = 349.58 : x
  2. Step 2: Convert to fraction form
    384.08/573.14 = 349.58/x
  3. Step 3: Cross multiply
    384.08x = 573.14 × 349.58
  4. Step 4: Simplify right side
    384.08x = 200,360.59
  5. Step 5: Solve for x
    x = 200,360.59/384.08
  6. Step 6: Final answer
    x = 521.67

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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.