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Finding the Fourth Proportional to 479.30, 719.17 and 284.69

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Solution

The fourth proportional to 479.30, 719.17 and 284.69 is: 427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.30 : 719.17 = 284.69 : x
  2. Step 2: Convert to fraction form
    479.30/719.17 = 284.69/x
  3. Step 3: Cross multiply
    479.30x = 719.17 × 284.69
  4. Step 4: Simplify right side
    479.30x = 204,740.51
  5. Step 5: Solve for x
    x = 204,740.51/479.30
  6. Step 6: Final answer
    x = 427.17

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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.