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Finding the Fourth Proportional to 594.97, 821.07 and 346.36

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Solution

The fourth proportional to 594.97, 821.07 and 346.36 is: 477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.97 : 821.07 = 346.36 : x
  2. Step 2: Convert to fraction form
    594.97/821.07 = 346.36/x
  3. Step 3: Cross multiply
    594.97x = 821.07 × 346.36
  4. Step 4: Simplify right side
    594.97x = 284,385.81
  5. Step 5: Solve for x
    x = 284,385.81/594.97
  6. Step 6: Final answer
    x = 477.98

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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.