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Finding the Fourth Proportional to 470.84, 649.20 and 295.88

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Solution

The fourth proportional to 470.84, 649.20 and 295.88 is: 407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.84 : 649.20 = 295.88 : x
  2. Step 2: Convert to fraction form
    470.84/649.20 = 295.88/x
  3. Step 3: Cross multiply
    470.84x = 649.20 × 295.88
  4. Step 4: Simplify right side
    470.84x = 192,085.30
  5. Step 5: Solve for x
    x = 192,085.30/470.84
  6. Step 6: Final answer
    x = 407.96

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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.