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Finding the Fourth Proportional to 340.77, 469.83 and 336.18

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Solution

The fourth proportional to 340.77, 469.83 and 336.18 is: 463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.77 : 469.83 = 336.18 : x
  2. Step 2: Convert to fraction form
    340.77/469.83 = 336.18/x
  3. Step 3: Cross multiply
    340.77x = 469.83 × 336.18
  4. Step 4: Simplify right side
    340.77x = 157,947.45
  5. Step 5: Solve for x
    x = 157,947.45/340.77
  6. Step 6: Final answer
    x = 463.50

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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.