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Finding the Fourth Proportional to 588.86, 812.54 and 340.14

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Solution

The fourth proportional to 588.86, 812.54 and 340.14 is: 469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.86 : 812.54 = 340.14 : x
  2. Step 2: Convert to fraction form
    588.86/812.54 = 340.14/x
  3. Step 3: Cross multiply
    588.86x = 812.54 × 340.14
  4. Step 4: Simplify right side
    588.86x = 276,378.21
  5. Step 5: Solve for x
    x = 276,378.21/588.86
  6. Step 6: Final answer
    x = 469.35

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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.