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Finding the Fourth Proportional to 307.60, 419.07 and 307.60

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Solution

The fourth proportional to 307.60, 419.07 and 307.60 is: 419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.60 : 419.07 = 307.60 : x
  2. Step 2: Convert to fraction form
    307.60/419.07 = 307.60/x
  3. Step 3: Cross multiply
    307.60x = 419.07 × 307.60
  4. Step 4: Simplify right side
    307.60x = 128,904.39
  5. Step 5: Solve for x
    x = 128,904.39/307.60
  6. Step 6: Final answer
    x = 419.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.