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Finding the Fourth Proportional to 957.48, 1,435.44 and 470.28

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Solution

The fourth proportional to 957.48, 1,435.44 and 470.28 is: 705.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.48 : 1,435.44 = 470.28 : x
  2. Step 2: Convert to fraction form
    957.48/1,435.44 = 470.28/x
  3. Step 3: Cross multiply
    957.48x = 1,435.44 × 470.28
  4. Step 4: Simplify right side
    957.48x = 675,058.72
  5. Step 5: Solve for x
    x = 675,058.72/957.48
  6. Step 6: Final answer
    x = 705.04

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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.