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Finding the Fourth Proportional to 470.56, 704.48 and 340.16

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Solution

The fourth proportional to 470.56, 704.48 and 340.16 is: 509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.56 : 704.48 = 340.16 : x
  2. Step 2: Convert to fraction form
    470.56/704.48 = 340.16/x
  3. Step 3: Cross multiply
    470.56x = 704.48 × 340.16
  4. Step 4: Simplify right side
    470.56x = 239,635.92
  5. Step 5: Solve for x
    x = 239,635.92/470.56
  6. Step 6: Final answer
    x = 509.26

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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.