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Finding the Fourth Proportional to 521.52, 719.04 and 381.52

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Solution

The fourth proportional to 521.52, 719.04 and 381.52 is: 526.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.52 : 719.04 = 381.52 : x
  2. Step 2: Convert to fraction form
    521.52/719.04 = 381.52/x
  3. Step 3: Cross multiply
    521.52x = 719.04 × 381.52
  4. Step 4: Simplify right side
    521.52x = 274,328.14
  5. Step 5: Solve for x
    x = 274,328.14/521.52
  6. Step 6: Final answer
    x = 526.02

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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.