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Finding the Fourth Proportional to 588.74, 812.28 and 340.03

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Solution

The fourth proportional to 588.74, 812.28 and 340.03 is: 469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.74 : 812.28 = 340.03 : x
  2. Step 2: Convert to fraction form
    588.74/812.28 = 340.03/x
  3. Step 3: Cross multiply
    588.74x = 812.28 × 340.03
  4. Step 4: Simplify right side
    588.74x = 276,199.57
  5. Step 5: Solve for x
    x = 276,199.57/588.74
  6. Step 6: Final answer
    x = 469.14

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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.