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Finding the Fourth Proportional to 536.56, 740.84 and 381.52

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Solution

The fourth proportional to 536.56, 740.84 and 381.52 is: 526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.56 : 740.84 = 381.52 : x
  2. Step 2: Convert to fraction form
    536.56/740.84 = 381.52/x
  3. Step 3: Cross multiply
    536.56x = 740.84 × 381.52
  4. Step 4: Simplify right side
    536.56x = 282,645.28
  5. Step 5: Solve for x
    x = 282,645.28/536.56
  6. Step 6: Final answer
    x = 526.77

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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.