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Finding the Fourth Proportional to 470.94, 704.00 and 348.06

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Solution

The fourth proportional to 470.94, 704.00 and 348.06 is: 520.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.94 : 704.00 = 348.06 : x
  2. Step 2: Convert to fraction form
    470.94/704.00 = 348.06/x
  3. Step 3: Cross multiply
    470.94x = 704.00 × 348.06
  4. Step 4: Simplify right side
    470.94x = 245,032.50
  5. Step 5: Solve for x
    x = 245,032.50/470.94
  6. Step 6: Final answer
    x = 520.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.