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Finding the Fourth Proportional to 584.58, 877.91 and 342.63

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Solution

The fourth proportional to 584.58, 877.91 and 342.63 is: 514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.58 : 877.91 = 342.63 : x
  2. Step 2: Convert to fraction form
    584.58/877.91 = 342.63/x
  3. Step 3: Cross multiply
    584.58x = 877.91 × 342.63
  4. Step 4: Simplify right side
    584.58x = 300,796.59
  5. Step 5: Solve for x
    x = 300,796.59/584.58
  6. Step 6: Final answer
    x = 514.55

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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.