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Finding the Fourth Proportional to 522.16, 719.42 and 382.04

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Solution

The fourth proportional to 522.16, 719.42 and 382.04 is: 526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.16 : 719.42 = 382.04 : x
  2. Step 2: Convert to fraction form
    522.16/719.42 = 382.04/x
  3. Step 3: Cross multiply
    522.16x = 719.42 × 382.04
  4. Step 4: Simplify right side
    522.16x = 274,847.22
  5. Step 5: Solve for x
    x = 274,847.22/522.16
  6. Step 6: Final answer
    x = 526.37

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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.