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Finding the Fourth Proportional to 584.86, 877.02 and 341.46

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Solution

The fourth proportional to 584.86, 877.02 and 341.46 is: 512.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.86 : 877.02 = 341.46 : x
  2. Step 2: Convert to fraction form
    584.86/877.02 = 341.46/x
  3. Step 3: Cross multiply
    584.86x = 877.02 × 341.46
  4. Step 4: Simplify right side
    584.86x = 299,467.25
  5. Step 5: Solve for x
    x = 299,467.25/584.86
  6. Step 6: Final answer
    x = 512.03

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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.