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Finding the Fourth Proportional to 470.79, 641.30 and 461.70

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Solution

The fourth proportional to 470.79, 641.30 and 461.70 is: 628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.79 : 641.30 = 461.70 : x
  2. Step 2: Convert to fraction form
    470.79/641.30 = 461.70/x
  3. Step 3: Cross multiply
    470.79x = 641.30 × 461.70
  4. Step 4: Simplify right side
    470.79x = 296,085.90
  5. Step 5: Solve for x
    x = 296,085.90/470.79
  6. Step 6: Final answer
    x = 628.91

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.