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Finding the Fourth Proportional to 594.72, 821.88 and 535.32

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Solution

The fourth proportional to 594.72, 821.88 and 535.32 is: 739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.72 : 821.88 = 535.32 : x
  2. Step 2: Convert to fraction form
    594.72/821.88 = 535.32/x
  3. Step 3: Cross multiply
    594.72x = 821.88 × 535.32
  4. Step 4: Simplify right side
    594.72x = 439,968.80
  5. Step 5: Solve for x
    x = 439,968.80/594.72
  6. Step 6: Final answer
    x = 739.79

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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.