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Finding the Fourth Proportional to 371.76, 557.64 and 209.60

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Solution

The fourth proportional to 371.76, 557.64 and 209.60 is: 314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.76 : 557.64 = 209.60 : x
  2. Step 2: Convert to fraction form
    371.76/557.64 = 209.60/x
  3. Step 3: Cross multiply
    371.76x = 557.64 × 209.60
  4. Step 4: Simplify right side
    371.76x = 116,881.34
  5. Step 5: Solve for x
    x = 116,881.34/371.76
  6. Step 6: Final answer
    x = 314.40

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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.