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Finding the Fourth Proportional to 577.84, 797.43 and 345.10

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Solution

The fourth proportional to 577.84, 797.43 and 345.10 is: 476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.84 : 797.43 = 345.10 : x
  2. Step 2: Convert to fraction form
    577.84/797.43 = 345.10/x
  3. Step 3: Cross multiply
    577.84x = 797.43 × 345.10
  4. Step 4: Simplify right side
    577.84x = 275,193.09
  5. Step 5: Solve for x
    x = 275,193.09/577.84
  6. Step 6: Final answer
    x = 476.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.