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Finding the Fourth Proportional to 522.60, 721.34 and 345.69

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Solution

The fourth proportional to 522.60, 721.34 and 345.69 is: 477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.60 : 721.34 = 345.69 : x
  2. Step 2: Convert to fraction form
    522.60/721.34 = 345.69/x
  3. Step 3: Cross multiply
    522.60x = 721.34 × 345.69
  4. Step 4: Simplify right side
    522.60x = 249,358.30
  5. Step 5: Solve for x
    x = 249,358.30/522.60
  6. Step 6: Final answer
    x = 477.15

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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.