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Finding the Fourth Proportional to 522.42, 719.30 and 443.58

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Solution

The fourth proportional to 522.42, 719.30 and 443.58 is: 610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.42 : 719.30 = 443.58 : x
  2. Step 2: Convert to fraction form
    522.42/719.30 = 443.58/x
  3. Step 3: Cross multiply
    522.42x = 719.30 × 443.58
  4. Step 4: Simplify right side
    522.42x = 319,064.88
  5. Step 5: Solve for x
    x = 319,064.88/522.42
  6. Step 6: Final answer
    x = 610.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.