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Finding the Fourth Proportional to 590.27, 812.71 and 520.07

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Solution

The fourth proportional to 590.27, 812.71 and 520.07 is: 716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.27 : 812.71 = 520.07 : x
  2. Step 2: Convert to fraction form
    590.27/812.71 = 520.07/x
  3. Step 3: Cross multiply
    590.27x = 812.71 × 520.07
  4. Step 4: Simplify right side
    590.27x = 422,666.09
  5. Step 5: Solve for x
    x = 422,666.09/590.27
  6. Step 6: Final answer
    x = 716.06

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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.