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Finding the Fourth Proportional to 623.50, 934.47 and 476.15

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Solution

The fourth proportional to 623.50, 934.47 and 476.15 is: 713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.50 : 934.47 = 476.15 : x
  2. Step 2: Convert to fraction form
    623.50/934.47 = 476.15/x
  3. Step 3: Cross multiply
    623.50x = 934.47 × 476.15
  4. Step 4: Simplify right side
    623.50x = 444,943.22
  5. Step 5: Solve for x
    x = 444,943.22/623.50
  6. Step 6: Final answer
    x = 713.62

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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.