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Finding the Fourth Proportional to 492.04, 738.05 and 401.15

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Solution

The fourth proportional to 492.04, 738.05 and 401.15 is: 601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.04 : 738.05 = 401.15 : x
  2. Step 2: Convert to fraction form
    492.04/738.05 = 401.15/x
  3. Step 3: Cross multiply
    492.04x = 738.05 × 401.15
  4. Step 4: Simplify right side
    492.04x = 296,068.60
  5. Step 5: Solve for x
    x = 296,068.60/492.04
  6. Step 6: Final answer
    x = 601.71

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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.