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Finding the Fourth Proportional to 446.42, 616.32 and 306.77

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Solution

The fourth proportional to 446.42, 616.32 and 306.77 is: 423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.42 : 616.32 = 306.77 : x
  2. Step 2: Convert to fraction form
    446.42/616.32 = 306.77/x
  3. Step 3: Cross multiply
    446.42x = 616.32 × 306.77
  4. Step 4: Simplify right side
    446.42x = 189,068.49
  5. Step 5: Solve for x
    x = 189,068.49/446.42
  6. Step 6: Final answer
    x = 423.52

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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.