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Finding the Fourth Proportional to 522.58, 721.92 and 483.70

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Solution

The fourth proportional to 522.58, 721.92 and 483.70 is: 668.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.58 : 721.92 = 483.70 : x
  2. Step 2: Convert to fraction form
    522.58/721.92 = 483.70/x
  3. Step 3: Cross multiply
    522.58x = 721.92 × 483.70
  4. Step 4: Simplify right side
    522.58x = 349,192.70
  5. Step 5: Solve for x
    x = 349,192.70/522.58
  6. Step 6: Final answer
    x = 668.21

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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.