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Finding the Fourth Proportional to 957.54, 1,435.88 and 380

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Solution

The fourth proportional to 957.54, 1,435.88 and 380 is: 569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.54 : 1,435.88 = 380 : x
  2. Step 2: Convert to fraction form
    957.54/1,435.88 = 380/x
  3. Step 3: Cross multiply
    957.54x = 1,435.88 × 380
  4. Step 4: Simplify right side
    957.54x = 545,634.40
  5. Step 5: Solve for x
    x = 545,634.40/957.54
  6. Step 6: Final answer
    x = 569.83

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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.