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Finding the Fourth Proportional to 842.40, 1,263.84 and 380.16

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Solution

The fourth proportional to 842.40, 1,263.84 and 380.16 is: 570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.40 : 1,263.84 = 380.16 : x
  2. Step 2: Convert to fraction form
    842.40/1,263.84 = 380.16/x
  3. Step 3: Cross multiply
    842.40x = 1,263.84 × 380.16
  4. Step 4: Simplify right side
    842.40x = 480,461.41
  5. Step 5: Solve for x
    x = 480,461.41/842.40
  6. Step 6: Final answer
    x = 570.35

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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.