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Finding the Fourth Proportional to 306.38, 456.71 and 288.77

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Solution

The fourth proportional to 306.38, 456.71 and 288.77 is: 430.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.38 : 456.71 = 288.77 : x
  2. Step 2: Convert to fraction form
    306.38/456.71 = 288.77/x
  3. Step 3: Cross multiply
    306.38x = 456.71 × 288.77
  4. Step 4: Simplify right side
    306.38x = 131,880.42
  5. Step 5: Solve for x
    x = 131,880.42/306.38
  6. Step 6: Final answer
    x = 430.44

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Why These Related Problems?

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