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Finding the Fourth Proportional to 551.30, 760.38 and 354.77

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Solution

The fourth proportional to 551.30, 760.38 and 354.77 is: 489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.30 : 760.38 = 354.77 : x
  2. Step 2: Convert to fraction form
    551.30/760.38 = 354.77/x
  3. Step 3: Cross multiply
    551.30x = 760.38 × 354.77
  4. Step 4: Simplify right side
    551.30x = 269,756.21
  5. Step 5: Solve for x
    x = 269,756.21/551.30
  6. Step 6: Final answer
    x = 489.31

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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.