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Finding the Fourth Proportional to 594.75, 820.76 and 361.92

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Solution

The fourth proportional to 594.75, 820.76 and 361.92 is: 499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.75 : 820.76 = 361.92 : x
  2. Step 2: Convert to fraction form
    594.75/820.76 = 361.92/x
  3. Step 3: Cross multiply
    594.75x = 820.76 × 361.92
  4. Step 4: Simplify right side
    594.75x = 297,047.65
  5. Step 5: Solve for x
    x = 297,047.65/594.75
  6. Step 6: Final answer
    x = 499.45

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Find fourth proportional to 297.38, 410.38 and 180.96
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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.