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Finding the Fourth Proportional to 551.77, 826.05 and 429.66

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Solution

The fourth proportional to 551.77, 826.05 and 429.66 is: 643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.77 : 826.05 = 429.66 : x
  2. Step 2: Convert to fraction form
    551.77/826.05 = 429.66/x
  3. Step 3: Cross multiply
    551.77x = 826.05 × 429.66
  4. Step 4: Simplify right side
    551.77x = 354,920.64
  5. Step 5: Solve for x
    x = 354,920.64/551.77
  6. Step 6: Final answer
    x = 643.24

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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.