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Finding the Fourth Proportional to 623.28, 934.46 and 470.19

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Solution

The fourth proportional to 623.28, 934.46 and 470.19 is: 704.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.28 : 934.46 = 470.19 : x
  2. Step 2: Convert to fraction form
    623.28/934.46 = 470.19/x
  3. Step 3: Cross multiply
    623.28x = 934.46 × 470.19
  4. Step 4: Simplify right side
    623.28x = 439,373.75
  5. Step 5: Solve for x
    x = 439,373.75/623.28
  6. Step 6: Final answer
    x = 704.94

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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.