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Finding the Fourth Proportional to 585.12, 877.84 and 411.84

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Solution

The fourth proportional to 585.12, 877.84 and 411.84 is: 617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.12 : 877.84 = 411.84 : x
  2. Step 2: Convert to fraction form
    585.12/877.84 = 411.84/x
  3. Step 3: Cross multiply
    585.12x = 877.84 × 411.84
  4. Step 4: Simplify right side
    585.12x = 361,529.63
  5. Step 5: Solve for x
    x = 361,529.63/585.12
  6. Step 6: Final answer
    x = 617.87

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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.