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Finding the Fourth Proportional to 940.07, 1,410.35 and 355.08

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Solution

The fourth proportional to 940.07, 1,410.35 and 355.08 is: 532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.07 : 1,410.35 = 355.08 : x
  2. Step 2: Convert to fraction form
    940.07/1,410.35 = 355.08/x
  3. Step 3: Cross multiply
    940.07x = 1,410.35 × 355.08
  4. Step 4: Simplify right side
    940.07x = 500,778.25
  5. Step 5: Solve for x
    x = 500,778.25/940.07
  6. Step 6: Final answer
    x = 532.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.