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Finding the Fourth Proportional to 488.58, 674.10 and 302.00

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Solution

The fourth proportional to 488.58, 674.10 and 302.00 is: 416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.58 : 674.10 = 302.00 : x
  2. Step 2: Convert to fraction form
    488.58/674.10 = 302.00/x
  3. Step 3: Cross multiply
    488.58x = 674.10 × 302.00
  4. Step 4: Simplify right side
    488.58x = 203,579.67
  5. Step 5: Solve for x
    x = 203,579.67/488.58
  6. Step 6: Final answer
    x = 416.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.