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Finding the Fourth Proportional to 584.07, 876.13 and 276.07

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Solution

The fourth proportional to 584.07, 876.13 and 276.07 is: 414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.07 : 876.13 = 276.07 : x
  2. Step 2: Convert to fraction form
    584.07/876.13 = 276.07/x
  3. Step 3: Cross multiply
    584.07x = 876.13 × 276.07
  4. Step 4: Simplify right side
    584.07x = 241,871.83
  5. Step 5: Solve for x
    x = 241,871.83/584.07
  6. Step 6: Final answer
    x = 414.11

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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.