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Finding the Fourth Proportional to 305.40, 420.70 and 256.24

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Solution

The fourth proportional to 305.40, 420.70 and 256.24 is: 352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.40 : 420.70 = 256.24 : x
  2. Step 2: Convert to fraction form
    305.40/420.70 = 256.24/x
  3. Step 3: Cross multiply
    305.40x = 420.70 × 256.24
  4. Step 4: Simplify right side
    305.40x = 107,800.17
  5. Step 5: Solve for x
    x = 107,800.17/305.40
  6. Step 6: Final answer
    x = 352.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.