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Finding the Fourth Proportional to 470.35, 648.66 and 403.94

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Solution

The fourth proportional to 470.35, 648.66 and 403.94 is: 557.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.35 : 648.66 = 403.94 : x
  2. Step 2: Convert to fraction form
    470.35/648.66 = 403.94/x
  3. Step 3: Cross multiply
    470.35x = 648.66 × 403.94
  4. Step 4: Simplify right side
    470.35x = 262,017.70
  5. Step 5: Solve for x
    x = 262,017.70/470.35
  6. Step 6: Final answer
    x = 557.07

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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.