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Finding the Fourth Proportional to 584.60, 877.97 and 463.64

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Solution

The fourth proportional to 584.60, 877.97 and 463.64 is: 696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.60 : 877.97 = 463.64 : x
  2. Step 2: Convert to fraction form
    584.60/877.97 = 463.64/x
  3. Step 3: Cross multiply
    584.60x = 877.97 × 463.64
  4. Step 4: Simplify right side
    584.60x = 407,058.78
  5. Step 5: Solve for x
    x = 407,058.78/584.60
  6. Step 6: Final answer
    x = 696.31

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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.