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Finding the Fourth Proportional to 856.66, 1,284.50 and 301.10

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Solution

The fourth proportional to 856.66, 1,284.50 and 301.10 is: 451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.66 : 1,284.50 = 301.10 : x
  2. Step 2: Convert to fraction form
    856.66/1,284.50 = 301.10/x
  3. Step 3: Cross multiply
    856.66x = 1,284.50 × 301.10
  4. Step 4: Simplify right side
    856.66x = 386,762.95
  5. Step 5: Solve for x
    x = 386,762.95/856.66
  6. Step 6: Final answer
    x = 451.48

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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.