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Finding the Fourth Proportional to 302.46, 452.88 and 256.56

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Solution

The fourth proportional to 302.46, 452.88 and 256.56 is: 384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.46 : 452.88 = 256.56 : x
  2. Step 2: Convert to fraction form
    302.46/452.88 = 256.56/x
  3. Step 3: Cross multiply
    302.46x = 452.88 × 256.56
  4. Step 4: Simplify right side
    302.46x = 116,190.89
  5. Step 5: Solve for x
    x = 116,190.89/302.46
  6. Step 6: Final answer
    x = 384.15

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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.