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Finding the Fourth Proportional to 416.84, 622.95 and 307.38

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Solution

The fourth proportional to 416.84, 622.95 and 307.38 is: 459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.84 : 622.95 = 307.38 : x
  2. Step 2: Convert to fraction form
    416.84/622.95 = 307.38/x
  3. Step 3: Cross multiply
    416.84x = 622.95 × 307.38
  4. Step 4: Simplify right side
    416.84x = 191,480.90
  5. Step 5: Solve for x
    x = 191,480.90/416.84
  6. Step 6: Final answer
    x = 459.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.