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Finding the Fourth Proportional to 856.46, 1,284.42 and 417.72

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Solution

The fourth proportional to 856.46, 1,284.42 and 417.72 is: 626.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.46 : 1,284.42 = 417.72 : x
  2. Step 2: Convert to fraction form
    856.46/1,284.42 = 417.72/x
  3. Step 3: Cross multiply
    856.46x = 1,284.42 × 417.72
  4. Step 4: Simplify right side
    856.46x = 536,527.92
  5. Step 5: Solve for x
    x = 536,527.92/856.46
  6. Step 6: Final answer
    x = 626.45

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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.