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Finding the Fourth Proportional to 536.96, 741.04 and 381.76

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Solution

The fourth proportional to 536.96, 741.04 and 381.76 is: 526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.96 : 741.04 = 381.76 : x
  2. Step 2: Convert to fraction form
    536.96/741.04 = 381.76/x
  3. Step 3: Cross multiply
    536.96x = 741.04 × 381.76
  4. Step 4: Simplify right side
    536.96x = 282,899.43
  5. Step 5: Solve for x
    x = 282,899.43/536.96
  6. Step 6: Final answer
    x = 526.85

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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.