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Finding the Fourth Proportional to 448.16, 669.30 and 390.56

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Solution

The fourth proportional to 448.16, 669.30 and 390.56 is: 583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.16 : 669.30 = 390.56 : x
  2. Step 2: Convert to fraction form
    448.16/669.30 = 390.56/x
  3. Step 3: Cross multiply
    448.16x = 669.30 × 390.56
  4. Step 4: Simplify right side
    448.16x = 261,401.81
  5. Step 5: Solve for x
    x = 261,401.81/448.16
  6. Step 6: Final answer
    x = 583.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.