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Finding the Fourth Proportional to 380.40, 570.04 and 284.16

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Solution

The fourth proportional to 380.40, 570.04 and 284.16 is: 425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.40 : 570.04 = 284.16 : x
  2. Step 2: Convert to fraction form
    380.40/570.04 = 284.16/x
  3. Step 3: Cross multiply
    380.40x = 570.04 × 284.16
  4. Step 4: Simplify right side
    380.40x = 161,982.57
  5. Step 5: Solve for x
    x = 161,982.57/380.40
  6. Step 6: Final answer
    x = 425.82

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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.