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Finding the Fourth Proportional to 584.91, 876.82 and 260.10

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Solution

The fourth proportional to 584.91, 876.82 and 260.10 is: 389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.91 : 876.82 = 260.10 : x
  2. Step 2: Convert to fraction form
    584.91/876.82 = 260.10/x
  3. Step 3: Cross multiply
    584.91x = 876.82 × 260.10
  4. Step 4: Simplify right side
    584.91x = 228,060.88
  5. Step 5: Solve for x
    x = 228,060.88/584.91
  6. Step 6: Final answer
    x = 389.91

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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.