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Finding the Fourth Proportional to 585.21, 877.82 and 411.38

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Solution

The fourth proportional to 585.21, 877.82 and 411.38 is: 617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.21 : 877.82 = 411.38 : x
  2. Step 2: Convert to fraction form
    585.21/877.82 = 411.38/x
  3. Step 3: Cross multiply
    585.21x = 877.82 × 411.38
  4. Step 4: Simplify right side
    585.21x = 361,111.15
  5. Step 5: Solve for x
    x = 361,111.15/585.21
  6. Step 6: Final answer
    x = 617.06

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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.