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Finding the Fourth Proportional to 602.86, 832.04 and 381.83

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Solution

The fourth proportional to 602.86, 832.04 and 381.83 is: 526.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.86 : 832.04 = 381.83 : x
  2. Step 2: Convert to fraction form
    602.86/832.04 = 381.83/x
  3. Step 3: Cross multiply
    602.86x = 832.04 × 381.83
  4. Step 4: Simplify right side
    602.86x = 317,701.71
  5. Step 5: Solve for x
    x = 317,701.71/602.86
  6. Step 6: Final answer
    x = 526.99

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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.