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Finding the Fourth Proportional to 470.40, 649.14 and 283.86

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Solution

The fourth proportional to 470.40, 649.14 and 283.86 is: 391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.40 : 649.14 = 283.86 : x
  2. Step 2: Convert to fraction form
    470.40/649.14 = 283.86/x
  3. Step 3: Cross multiply
    470.40x = 649.14 × 283.86
  4. Step 4: Simplify right side
    470.40x = 184,264.88
  5. Step 5: Solve for x
    x = 184,264.88/470.40
  6. Step 6: Final answer
    x = 391.72

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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.