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Finding the Fourth Proportional to 470.34, 649.08 and 283.95

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Solution

The fourth proportional to 470.34, 649.08 and 283.95 is: 391.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.34 : 649.08 = 283.95 : x
  2. Step 2: Convert to fraction form
    470.34/649.08 = 283.95/x
  3. Step 3: Cross multiply
    470.34x = 649.08 × 283.95
  4. Step 4: Simplify right side
    470.34x = 184,306.27
  5. Step 5: Solve for x
    x = 184,306.27/470.34
  6. Step 6: Final answer
    x = 391.86

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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.