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Finding the Fourth Proportional to 522, 719.94 and 356.04

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Solution

The fourth proportional to 522, 719.94 and 356.04 is: 491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    522 : 719.94 = 356.04 : x
  2. Step 2: Convert to fraction form
    522/719.94 = 356.04/x
  3. Step 3: Cross multiply
    522x = 719.94 × 356.04
  4. Step 4: Simplify right side
    522x = 256,327.44
  5. Step 5: Solve for x
    x = 256,327.44/522
  6. Step 6: Final answer
    x = 491.05

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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.