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Finding the Fourth Proportional to 584.47, 877.91 and 463.57

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Solution

The fourth proportional to 584.47, 877.91 and 463.57 is: 696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.47 : 877.91 = 463.57 : x
  2. Step 2: Convert to fraction form
    584.47/877.91 = 463.57/x
  3. Step 3: Cross multiply
    584.47x = 877.91 × 463.57
  4. Step 4: Simplify right side
    584.47x = 406,977.08
  5. Step 5: Solve for x
    x = 406,977.08/584.47
  6. Step 6: Final answer
    x = 696.32

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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.