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Finding the Fourth Proportional to 592.68, 814.47 and 565.58

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Solution

The fourth proportional to 592.68, 814.47 and 565.58 is: 777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.68 : 814.47 = 565.58 : x
  2. Step 2: Convert to fraction form
    592.68/814.47 = 565.58/x
  3. Step 3: Cross multiply
    592.68x = 814.47 × 565.58
  4. Step 4: Simplify right side
    592.68x = 460,647.94
  5. Step 5: Solve for x
    x = 460,647.94/592.68
  6. Step 6: Final answer
    x = 777.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.