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Finding the Fourth Proportional to 470.66, 705.92 and 259.64

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Solution

The fourth proportional to 470.66, 705.92 and 259.64 is: 389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.66 : 705.92 = 259.64 : x
  2. Step 2: Convert to fraction form
    470.66/705.92 = 259.64/x
  3. Step 3: Cross multiply
    470.66x = 705.92 × 259.64
  4. Step 4: Simplify right side
    470.66x = 183,285.07
  5. Step 5: Solve for x
    x = 183,285.07/470.66
  6. Step 6: Final answer
    x = 389.42

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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.