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Finding the Fourth Proportional to 380.02, 569.51 and 342.09

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Solution

The fourth proportional to 380.02, 569.51 and 342.09 is: 512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.02 : 569.51 = 342.09 : x
  2. Step 2: Convert to fraction form
    380.02/569.51 = 342.09/x
  3. Step 3: Cross multiply
    380.02x = 569.51 × 342.09
  4. Step 4: Simplify right side
    380.02x = 194,823.68
  5. Step 5: Solve for x
    x = 194,823.68/380.02
  6. Step 6: Final answer
    x = 512.67

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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.