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Finding the Fourth Proportional to 470.65, 649.62 and 284.14

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Solution

The fourth proportional to 470.65, 649.62 and 284.14 is: 392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.65 : 649.62 = 284.14 : x
  2. Step 2: Convert to fraction form
    470.65/649.62 = 284.14/x
  3. Step 3: Cross multiply
    470.65x = 649.62 × 284.14
  4. Step 4: Simplify right side
    470.65x = 184,583.03
  5. Step 5: Solve for x
    x = 184,583.03/470.65
  6. Step 6: Final answer
    x = 392.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.