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Finding the Fourth Proportional to 594.41, 821.27 and 528.32

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Solution

The fourth proportional to 594.41, 821.27 and 528.32 is: 729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.41 : 821.27 = 528.32 : x
  2. Step 2: Convert to fraction form
    594.41/821.27 = 528.32/x
  3. Step 3: Cross multiply
    594.41x = 821.27 × 528.32
  4. Step 4: Simplify right side
    594.41x = 433,896.74
  5. Step 5: Solve for x
    x = 433,896.74/594.41
  6. Step 6: Final answer
    x = 729.97

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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.