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Finding the Fourth Proportional to 594.96, 821.34 and 429.24

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Solution

The fourth proportional to 594.96, 821.34 and 429.24 is: 592.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.96 : 821.34 = 429.24 : x
  2. Step 2: Convert to fraction form
    594.96/821.34 = 429.24/x
  3. Step 3: Cross multiply
    594.96x = 821.34 × 429.24
  4. Step 4: Simplify right side
    594.96x = 352,551.98
  5. Step 5: Solve for x
    x = 352,551.98/594.96
  6. Step 6: Final answer
    x = 592.56

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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.