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Finding the Fourth Proportional to 587.85, 811.50 and 419.91

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Solution

The fourth proportional to 587.85, 811.50 and 419.91 is: 579.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.85 : 811.50 = 419.91 : x
  2. Step 2: Convert to fraction form
    587.85/811.50 = 419.91/x
  3. Step 3: Cross multiply
    587.85x = 811.50 × 419.91
  4. Step 4: Simplify right side
    587.85x = 340,756.97
  5. Step 5: Solve for x
    x = 340,756.97/587.85
  6. Step 6: Final answer
    x = 579.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.