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Finding the Fourth Proportional to 470.00, 705.15 and 419.00

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Solution

The fourth proportional to 470.00, 705.15 and 419.00 is: 628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.00 : 705.15 = 419.00 : x
  2. Step 2: Convert to fraction form
    470.00/705.15 = 419.00/x
  3. Step 3: Cross multiply
    470.00x = 705.15 × 419.00
  4. Step 4: Simplify right side
    470.00x = 295,454.32
  5. Step 5: Solve for x
    x = 295,454.32/470.00
  6. Step 6: Final answer
    x = 628.62

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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.