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Finding the Fourth Proportional to 310.63, 465.12 and 256.77

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Solution

The fourth proportional to 310.63, 465.12 and 256.77 is: 384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.63 : 465.12 = 256.77 : x
  2. Step 2: Convert to fraction form
    310.63/465.12 = 256.77/x
  3. Step 3: Cross multiply
    310.63x = 465.12 × 256.77
  4. Step 4: Simplify right side
    310.63x = 119,428.86
  5. Step 5: Solve for x
    x = 119,428.86/310.63
  6. Step 6: Final answer
    x = 384.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.