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Finding the Fourth Proportional to 305.40, 457.53 and 256.95

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Solution

The fourth proportional to 305.40, 457.53 and 256.95 is: 384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.40 : 457.53 = 256.95 : x
  2. Step 2: Convert to fraction form
    305.40/457.53 = 256.95/x
  3. Step 3: Cross multiply
    305.40x = 457.53 × 256.95
  4. Step 4: Simplify right side
    305.40x = 117,562.33
  5. Step 5: Solve for x
    x = 117,562.33/305.40
  6. Step 6: Final answer
    x = 384.95

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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.