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Finding the Fourth Proportional to 957.16, 1,435.86 and 409.24

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Solution

The fourth proportional to 957.16, 1,435.86 and 409.24 is: 613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.16 : 1,435.86 = 409.24 : x
  2. Step 2: Convert to fraction form
    957.16/1,435.86 = 409.24/x
  3. Step 3: Cross multiply
    957.16x = 1,435.86 × 409.24
  4. Step 4: Simplify right side
    957.16x = 587,611.35
  5. Step 5: Solve for x
    x = 587,611.35/957.16
  6. Step 6: Final answer
    x = 613.91

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Why These Related Problems?

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