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Finding the Fourth Proportional to 522.86, 721.29 and 354.66

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Solution

The fourth proportional to 522.86, 721.29 and 354.66 is: 489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.86 : 721.29 = 354.66 : x
  2. Step 2: Convert to fraction form
    522.86/721.29 = 354.66/x
  3. Step 3: Cross multiply
    522.86x = 721.29 × 354.66
  4. Step 4: Simplify right side
    522.86x = 255,813.40
  5. Step 5: Solve for x
    x = 255,813.40/522.86
  6. Step 6: Final answer
    x = 489.26

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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.