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Finding the Fourth Proportional to 551.61, 829.04 and 488.43

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Solution

The fourth proportional to 551.61, 829.04 and 488.43 is: 734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.61 : 829.04 = 488.43 : x
  2. Step 2: Convert to fraction form
    551.61/829.04 = 488.43/x
  3. Step 3: Cross multiply
    551.61x = 829.04 × 488.43
  4. Step 4: Simplify right side
    551.61x = 404,925.57
  5. Step 5: Solve for x
    x = 404,925.57/551.61
  6. Step 6: Final answer
    x = 734.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.