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Finding the Fourth Proportional to 867.36, 1,300.40 and 380

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Solution

The fourth proportional to 867.36, 1,300.40 and 380 is: 569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.36 : 1,300.40 = 380 : x
  2. Step 2: Convert to fraction form
    867.36/1,300.40 = 380/x
  3. Step 3: Cross multiply
    867.36x = 1,300.40 × 380
  4. Step 4: Simplify right side
    867.36x = 494,152.00
  5. Step 5: Solve for x
    x = 494,152.00/867.36
  6. Step 6: Final answer
    x = 569.72

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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.