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Finding the Fourth Proportional to 470.04, 704.52 and 264.32

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Solution

The fourth proportional to 470.04, 704.52 and 264.32 is: 396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.04 : 704.52 = 264.32 : x
  2. Step 2: Convert to fraction form
    470.04/704.52 = 264.32/x
  3. Step 3: Cross multiply
    470.04x = 704.52 × 264.32
  4. Step 4: Simplify right side
    470.04x = 186,218.73
  5. Step 5: Solve for x
    x = 186,218.73/470.04
  6. Step 6: Final answer
    x = 396.18

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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.