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Finding the Fourth Proportional to 592.16, 889.45 and 563.00

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Solution

The fourth proportional to 592.16, 889.45 and 563.00 is: 845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.16 : 889.45 = 563.00 : x
  2. Step 2: Convert to fraction form
    592.16/889.45 = 563.00/x
  3. Step 3: Cross multiply
    592.16x = 889.45 × 563.00
  4. Step 4: Simplify right side
    592.16x = 500,754.50
  5. Step 5: Solve for x
    x = 500,754.50/592.16
  6. Step 6: Final answer
    x = 845.65

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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.