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Finding the Fourth Proportional to 588.66, 812.36 and 340.03

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Solution

The fourth proportional to 588.66, 812.36 and 340.03 is: 469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.66 : 812.36 = 340.03 : x
  2. Step 2: Convert to fraction form
    588.66/812.36 = 340.03/x
  3. Step 3: Cross multiply
    588.66x = 812.36 × 340.03
  4. Step 4: Simplify right side
    588.66x = 276,226.77
  5. Step 5: Solve for x
    x = 276,226.77/588.66
  6. Step 6: Final answer
    x = 469.25

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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.