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Finding the Fourth Proportional to 591.61, 814.55 and 536.93

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Solution

The fourth proportional to 591.61, 814.55 and 536.93 is: 739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.61 : 814.55 = 536.93 : x
  2. Step 2: Convert to fraction form
    591.61/814.55 = 536.93/x
  3. Step 3: Cross multiply
    591.61x = 814.55 × 536.93
  4. Step 4: Simplify right side
    591.61x = 437,356.33
  5. Step 5: Solve for x
    x = 437,356.33/591.61
  6. Step 6: Final answer
    x = 739.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.