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Finding the Fourth Proportional to 470.40, 648.98 and 359.70

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Solution

The fourth proportional to 470.40, 648.98 and 359.70 is: 496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.40 : 648.98 = 359.70 : x
  2. Step 2: Convert to fraction form
    470.40/648.98 = 359.70/x
  3. Step 3: Cross multiply
    470.40x = 648.98 × 359.70
  4. Step 4: Simplify right side
    470.40x = 233,438.11
  5. Step 5: Solve for x
    x = 233,438.11/470.40
  6. Step 6: Final answer
    x = 496.25

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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.