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Finding the Fourth Proportional to 485.05, 669.32 and 288.53

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Solution

The fourth proportional to 485.05, 669.32 and 288.53 is: 398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.05 : 669.32 = 288.53 : x
  2. Step 2: Convert to fraction form
    485.05/669.32 = 288.53/x
  3. Step 3: Cross multiply
    485.05x = 669.32 × 288.53
  4. Step 4: Simplify right side
    485.05x = 193,117.95
  5. Step 5: Solve for x
    x = 193,117.95/485.05
  6. Step 6: Final answer
    x = 398.14

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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.