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Finding the Fourth Proportional to 589.16, 812.10 and 431.79

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Solution

The fourth proportional to 589.16, 812.10 and 431.79 is: 595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.16 : 812.10 = 431.79 : x
  2. Step 2: Convert to fraction form
    589.16/812.10 = 431.79/x
  3. Step 3: Cross multiply
    589.16x = 812.10 × 431.79
  4. Step 4: Simplify right side
    589.16x = 350,656.66
  5. Step 5: Solve for x
    x = 350,656.66/589.16
  6. Step 6: Final answer
    x = 595.19

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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.