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Finding the Fourth Proportional to 551.40, 825.42 and 429

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Solution

The fourth proportional to 551.40, 825.42 and 429 is: 642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.40 : 825.42 = 429 : x
  2. Step 2: Convert to fraction form
    551.40/825.42 = 429/x
  3. Step 3: Cross multiply
    551.40x = 825.42 × 429
  4. Step 4: Simplify right side
    551.40x = 354,105.18
  5. Step 5: Solve for x
    x = 354,105.18/551.40
  6. Step 6: Final answer
    x = 642.19

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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.