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Finding the Fourth Proportional to 522.68, 719.65 and 443.84

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Solution

The fourth proportional to 522.68, 719.65 and 443.84 is: 611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.68 : 719.65 = 443.84 : x
  2. Step 2: Convert to fraction form
    522.68/719.65 = 443.84/x
  3. Step 3: Cross multiply
    522.68x = 719.65 × 443.84
  4. Step 4: Simplify right side
    522.68x = 319,409.46
  5. Step 5: Solve for x
    x = 319,409.46/522.68
  6. Step 6: Final answer
    x = 611.10

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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.