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Finding the Fourth Proportional to 957.53, 1,435.24 and 410.03

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Solution

The fourth proportional to 957.53, 1,435.24 and 410.03 is: 614.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.53 : 1,435.24 = 410.03 : x
  2. Step 2: Convert to fraction form
    957.53/1,435.24 = 410.03/x
  3. Step 3: Cross multiply
    957.53x = 1,435.24 × 410.03
  4. Step 4: Simplify right side
    957.53x = 588,489.41
  5. Step 5: Solve for x
    x = 588,489.41/957.53
  6. Step 6: Final answer
    x = 614.59

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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.