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Finding the Fourth Proportional to 305.54, 457.50 and 256.70

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Solution

The fourth proportional to 305.54, 457.50 and 256.70 is: 384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.54 : 457.50 = 256.70 : x
  2. Step 2: Convert to fraction form
    305.54/457.50 = 256.70/x
  3. Step 3: Cross multiply
    305.54x = 457.50 × 256.70
  4. Step 4: Simplify right side
    305.54x = 117,440.25
  5. Step 5: Solve for x
    x = 117,440.25/305.54
  6. Step 6: Final answer
    x = 384.37

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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.