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Finding the Fourth Proportional to 584.65, 876.79 and 173.67

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Solution

The fourth proportional to 584.65, 876.79 and 173.67 is: 260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.65 : 876.79 = 173.67 : x
  2. Step 2: Convert to fraction form
    584.65/876.79 = 173.67/x
  3. Step 3: Cross multiply
    584.65x = 876.79 × 173.67
  4. Step 4: Simplify right side
    584.65x = 152,272.12
  5. Step 5: Solve for x
    x = 152,272.12/584.65
  6. Step 6: Final answer
    x = 260.45

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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.