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Finding the Fourth Proportional to 640.12, 883.26 and 407.14

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Solution

The fourth proportional to 640.12, 883.26 and 407.14 is: 561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.12 : 883.26 = 407.14 : x
  2. Step 2: Convert to fraction form
    640.12/883.26 = 407.14/x
  3. Step 3: Cross multiply
    640.12x = 883.26 × 407.14
  4. Step 4: Simplify right side
    640.12x = 359,610.48
  5. Step 5: Solve for x
    x = 359,610.48/640.12
  6. Step 6: Final answer
    x = 561.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.