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Finding the Fourth Proportional to 577.92, 797.70 and 345

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Solution

The fourth proportional to 577.92, 797.70 and 345 is: 476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.92 : 797.70 = 345 : x
  2. Step 2: Convert to fraction form
    577.92/797.70 = 345/x
  3. Step 3: Cross multiply
    577.92x = 797.70 × 345
  4. Step 4: Simplify right side
    577.92x = 275,206.50
  5. Step 5: Solve for x
    x = 275,206.50/577.92
  6. Step 6: Final answer
    x = 476.20

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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.