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Finding the Fourth Proportional to 592.49, 889.51 and 455.63

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Solution

The fourth proportional to 592.49, 889.51 and 455.63 is: 684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.49 : 889.51 = 455.63 : x
  2. Step 2: Convert to fraction form
    592.49/889.51 = 455.63/x
  3. Step 3: Cross multiply
    592.49x = 889.51 × 455.63
  4. Step 4: Simplify right side
    592.49x = 405,288.93
  5. Step 5: Solve for x
    x = 405,288.93/592.49
  6. Step 6: Final answer
    x = 684.04

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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.