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Finding the Fourth Proportional to 470.90, 707.22 and 417.98

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Solution

The fourth proportional to 470.90, 707.22 and 417.98 is: 627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.90 : 707.22 = 417.98 : x
  2. Step 2: Convert to fraction form
    470.90/707.22 = 417.98/x
  3. Step 3: Cross multiply
    470.90x = 707.22 × 417.98
  4. Step 4: Simplify right side
    470.90x = 295,600.28
  5. Step 5: Solve for x
    x = 295,600.28/470.90
  6. Step 6: Final answer
    x = 627.74

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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.