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Finding the Fourth Proportional to 588.71, 812.40 and 340.16

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Solution

The fourth proportional to 588.71, 812.40 and 340.16 is: 469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.71 : 812.40 = 340.16 : x
  2. Step 2: Convert to fraction form
    588.71/812.40 = 340.16/x
  3. Step 3: Cross multiply
    588.71x = 812.40 × 340.16
  4. Step 4: Simplify right side
    588.71x = 276,348.02
  5. Step 5: Solve for x
    x = 276,348.02/588.71
  6. Step 6: Final answer
    x = 469.42

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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.