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Finding the Fourth Proportional to 595, 821.13 and 362.14

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Solution

The fourth proportional to 595, 821.13 and 362.14 is: 499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    595 : 821.13 = 362.14 : x
  2. Step 2: Convert to fraction form
    595/821.13 = 362.14/x
  3. Step 3: Cross multiply
    595x = 821.13 × 362.14
  4. Step 4: Simplify right side
    595x = 297,364.02
  5. Step 5: Solve for x
    x = 297,364.02/595
  6. Step 6: Final answer
    x = 499.77

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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.