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Finding the Fourth Proportional to 504.52, 756.30 and 470.23

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Solution

The fourth proportional to 504.52, 756.30 and 470.23 is: 704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.52 : 756.30 = 470.23 : x
  2. Step 2: Convert to fraction form
    504.52/756.30 = 470.23/x
  3. Step 3: Cross multiply
    504.52x = 756.30 × 470.23
  4. Step 4: Simplify right side
    504.52x = 355,634.95
  5. Step 5: Solve for x
    x = 355,634.95/504.52
  6. Step 6: Final answer
    x = 704.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.