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Finding the Fourth Proportional to 588.58, 812.25 and 339.91

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Solution

The fourth proportional to 588.58, 812.25 and 339.91 is: 469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.58 : 812.25 = 339.91 : x
  2. Step 2: Convert to fraction form
    588.58/812.25 = 339.91/x
  3. Step 3: Cross multiply
    588.58x = 812.25 × 339.91
  4. Step 4: Simplify right side
    588.58x = 276,089.87
  5. Step 5: Solve for x
    x = 276,089.87/588.58
  6. Step 6: Final answer
    x = 469.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.