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Finding the Fourth Proportional to 649.34, 974.08 and 302.70

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Solution

The fourth proportional to 649.34, 974.08 and 302.70 is: 454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.34 : 974.08 = 302.70 : x
  2. Step 2: Convert to fraction form
    649.34/974.08 = 302.70/x
  3. Step 3: Cross multiply
    649.34x = 974.08 × 302.70
  4. Step 4: Simplify right side
    649.34x = 294,854.02
  5. Step 5: Solve for x
    x = 294,854.02/649.34
  6. Step 6: Final answer
    x = 454.08

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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.