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Finding the Fourth Proportional to 469.68, 649.08 and 380.99

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Solution

The fourth proportional to 469.68, 649.08 and 380.99 is: 526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.68 : 649.08 = 380.99 : x
  2. Step 2: Convert to fraction form
    469.68/649.08 = 380.99/x
  3. Step 3: Cross multiply
    469.68x = 649.08 × 380.99
  4. Step 4: Simplify right side
    469.68x = 247,289.74
  5. Step 5: Solve for x
    x = 247,289.74/469.68
  6. Step 6: Final answer
    x = 526.51

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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.