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Finding the Fourth Proportional to 479.71, 716.06 and 411.67

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Solution

The fourth proportional to 479.71, 716.06 and 411.67 is: 614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.71 : 716.06 = 411.67 : x
  2. Step 2: Convert to fraction form
    479.71/716.06 = 411.67/x
  3. Step 3: Cross multiply
    479.71x = 716.06 × 411.67
  4. Step 4: Simplify right side
    479.71x = 294,780.42
  5. Step 5: Solve for x
    x = 294,780.42/479.71
  6. Step 6: Final answer
    x = 614.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.