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Finding the Fourth Proportional to 470.66, 706.86 and 417.74

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Solution

The fourth proportional to 470.66, 706.86 and 417.74 is: 627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.66 : 706.86 = 417.74 : x
  2. Step 2: Convert to fraction form
    470.66/706.86 = 417.74/x
  3. Step 3: Cross multiply
    470.66x = 706.86 × 417.74
  4. Step 4: Simplify right side
    470.66x = 295,283.70
  5. Step 5: Solve for x
    x = 295,283.70/470.66
  6. Step 6: Final answer
    x = 627.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.