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Finding the Fourth Proportional to 867.00, 1,300.35 and 282.42

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Solution

The fourth proportional to 867.00, 1,300.35 and 282.42 is: 423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.00 : 1,300.35 = 282.42 : x
  2. Step 2: Convert to fraction form
    867.00/1,300.35 = 282.42/x
  3. Step 3: Cross multiply
    867.00x = 1,300.35 × 282.42
  4. Step 4: Simplify right side
    867.00x = 367,244.32
  5. Step 5: Solve for x
    x = 367,244.32/867.00
  6. Step 6: Final answer
    x = 423.58

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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.