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Finding the Fourth Proportional to 588.61, 812.31 and 340.01

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Solution

The fourth proportional to 588.61, 812.31 and 340.01 is: 469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.61 : 812.31 = 340.01 : x
  2. Step 2: Convert to fraction form
    588.61/812.31 = 340.01/x
  3. Step 3: Cross multiply
    588.61x = 812.31 × 340.01
  4. Step 4: Simplify right side
    588.61x = 276,191.23
  5. Step 5: Solve for x
    x = 276,191.23/588.61
  6. Step 6: Final answer
    x = 469.23

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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.