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Finding the Fourth Proportional to 594.89, 821.16 and 358.84

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Solution

The fourth proportional to 594.89, 821.16 and 358.84 is: 495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.89 : 821.16 = 358.84 : x
  2. Step 2: Convert to fraction form
    594.89/821.16 = 358.84/x
  3. Step 3: Cross multiply
    594.89x = 821.16 × 358.84
  4. Step 4: Simplify right side
    594.89x = 294,663.26
  5. Step 5: Solve for x
    x = 294,663.26/594.89
  6. Step 6: Final answer
    x = 495.33

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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.