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Finding the Fourth Proportional to 592.25, 887.63 and 455.81

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Solution

The fourth proportional to 592.25, 887.63 and 455.81 is: 683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.25 : 887.63 = 455.81 : x
  2. Step 2: Convert to fraction form
    592.25/887.63 = 455.81/x
  3. Step 3: Cross multiply
    592.25x = 887.63 × 455.81
  4. Step 4: Simplify right side
    592.25x = 404,583.91
  5. Step 5: Solve for x
    x = 404,583.91/592.25
  6. Step 6: Final answer
    x = 683.14

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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.