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Finding the Fourth Proportional to 957.36, 1,435.96 and 409.52

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Solution

The fourth proportional to 957.36, 1,435.96 and 409.52 is: 614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.36 : 1,435.96 = 409.52 : x
  2. Step 2: Convert to fraction form
    957.36/1,435.96 = 409.52/x
  3. Step 3: Cross multiply
    957.36x = 1,435.96 × 409.52
  4. Step 4: Simplify right side
    957.36x = 588,054.34
  5. Step 5: Solve for x
    x = 588,054.34/957.36
  6. Step 6: Final answer
    x = 614.25

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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.