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Finding the Fourth Proportional to 594.96, 821.09 and 346.35

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Solution

The fourth proportional to 594.96, 821.09 and 346.35 is: 477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.96 : 821.09 = 346.35 : x
  2. Step 2: Convert to fraction form
    594.96/821.09 = 346.35/x
  3. Step 3: Cross multiply
    594.96x = 821.09 × 346.35
  4. Step 4: Simplify right side
    594.96x = 284,384.52
  5. Step 5: Solve for x
    x = 284,384.52/594.96
  6. Step 6: Final answer
    x = 477.99

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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.