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Finding the Fourth Proportional to 579.37, 869.93 and 463.47

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Solution

The fourth proportional to 579.37, 869.93 and 463.47 is: 695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.37 : 869.93 = 463.47 : x
  2. Step 2: Convert to fraction form
    579.37/869.93 = 463.47/x
  3. Step 3: Cross multiply
    579.37x = 869.93 × 463.47
  4. Step 4: Simplify right side
    579.37x = 403,186.46
  5. Step 5: Solve for x
    x = 403,186.46/579.37
  6. Step 6: Final answer
    x = 695.90

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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.