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Finding the Fourth Proportional to 588.84, 812.71 and 340.16

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Solution

The fourth proportional to 588.84, 812.71 and 340.16 is: 469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.84 : 812.71 = 340.16 : x
  2. Step 2: Convert to fraction form
    588.84/812.71 = 340.16/x
  3. Step 3: Cross multiply
    588.84x = 812.71 × 340.16
  4. Step 4: Simplify right side
    588.84x = 276,451.43
  5. Step 5: Solve for x
    x = 276,451.43/588.84
  6. Step 6: Final answer
    x = 469.48

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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.