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Finding the Fourth Proportional to 342.84, 473.75 and 259.80

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Solution

The fourth proportional to 342.84, 473.75 and 259.80 is: 359.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.84 : 473.75 = 259.80 : x
  2. Step 2: Convert to fraction form
    342.84/473.75 = 259.80/x
  3. Step 3: Cross multiply
    342.84x = 473.75 × 259.80
  4. Step 4: Simplify right side
    342.84x = 123,078.95
  5. Step 5: Solve for x
    x = 123,078.95/342.84
  6. Step 6: Final answer
    x = 359.00

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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.