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Finding the Fourth Proportional to 957.64, 1,435.74 and 380.20

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Solution

The fourth proportional to 957.64, 1,435.74 and 380.20 is: 570.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.64 : 1,435.74 = 380.20 : x
  2. Step 2: Convert to fraction form
    957.64/1,435.74 = 380.20/x
  3. Step 3: Cross multiply
    957.64x = 1,435.74 × 380.20
  4. Step 4: Simplify right side
    957.64x = 545,868.35
  5. Step 5: Solve for x
    x = 545,868.35/957.64
  6. Step 6: Final answer
    x = 570.01

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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.