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Finding the Fourth Proportional to 588.75, 812.47 and 340.07

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Solution

The fourth proportional to 588.75, 812.47 and 340.07 is: 469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.75 : 812.47 = 340.07 : x
  2. Step 2: Convert to fraction form
    588.75/812.47 = 340.07/x
  3. Step 3: Cross multiply
    588.75x = 812.47 × 340.07
  4. Step 4: Simplify right side
    588.75x = 276,296.67
  5. Step 5: Solve for x
    x = 276,296.67/588.75
  6. Step 6: Final answer
    x = 469.29

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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.