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Finding the Fourth Proportional to 336.19, 463.27 and 242.77

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Solution

The fourth proportional to 336.19, 463.27 and 242.77 is: 334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.19 : 463.27 = 242.77 : x
  2. Step 2: Convert to fraction form
    336.19/463.27 = 242.77/x
  3. Step 3: Cross multiply
    336.19x = 463.27 × 242.77
  4. Step 4: Simplify right side
    336.19x = 112,468.06
  5. Step 5: Solve for x
    x = 112,468.06/336.19
  6. Step 6: Final answer
    x = 334.54

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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.