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Finding the Fourth Proportional to 623.90, 934.41 and 478.46

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Solution

The fourth proportional to 623.90, 934.41 and 478.46 is: 716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.90 : 934.41 = 478.46 : x
  2. Step 2: Convert to fraction form
    623.90/934.41 = 478.46/x
  3. Step 3: Cross multiply
    623.90x = 934.41 × 478.46
  4. Step 4: Simplify right side
    623.90x = 447,077.81
  5. Step 5: Solve for x
    x = 447,077.81/623.90
  6. Step 6: Final answer
    x = 716.59

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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.