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Finding the Fourth Proportional to 602.86, 832.02 and 381.82

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Solution

The fourth proportional to 602.86, 832.02 and 381.82 is: 526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.86 : 832.02 = 381.82 : x
  2. Step 2: Convert to fraction form
    602.86/832.02 = 381.82/x
  3. Step 3: Cross multiply
    602.86x = 832.02 × 381.82
  4. Step 4: Simplify right side
    602.86x = 317,681.88
  5. Step 5: Solve for x
    x = 317,681.88/602.86
  6. Step 6: Final answer
    x = 526.96

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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.