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Finding the Fourth Proportional to 566.06, 780.84 and 344.93

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Solution

The fourth proportional to 566.06, 780.84 and 344.93 is: 475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.06 : 780.84 = 344.93 : x
  2. Step 2: Convert to fraction form
    566.06/780.84 = 344.93/x
  3. Step 3: Cross multiply
    566.06x = 780.84 × 344.93
  4. Step 4: Simplify right side
    566.06x = 269,331.24
  5. Step 5: Solve for x
    x = 269,331.24/566.06
  6. Step 6: Final answer
    x = 475.80

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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.