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Finding the Fourth Proportional to 856.41, 1,284.85 and 369.35

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Solution

The fourth proportional to 856.41, 1,284.85 and 369.35 is: 554.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.41 : 1,284.85 = 369.35 : x
  2. Step 2: Convert to fraction form
    856.41/1,284.85 = 369.35/x
  3. Step 3: Cross multiply
    856.41x = 1,284.85 × 369.35
  4. Step 4: Simplify right side
    856.41x = 474,561.64
  5. Step 5: Solve for x
    x = 474,561.64/856.41
  6. Step 6: Final answer
    x = 554.13

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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.