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Finding the Fourth Proportional to 416.70, 621.78 and 407.40

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Solution

The fourth proportional to 416.70, 621.78 and 407.40 is: 607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.70 : 621.78 = 407.40 : x
  2. Step 2: Convert to fraction form
    416.70/621.78 = 407.40/x
  3. Step 3: Cross multiply
    416.70x = 621.78 × 407.40
  4. Step 4: Simplify right side
    416.70x = 253,313.17
  5. Step 5: Solve for x
    x = 253,313.17/416.70
  6. Step 6: Final answer
    x = 607.90

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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.