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Finding the Fourth Proportional to 588.47, 812.04 and 339.80

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Solution

The fourth proportional to 588.47, 812.04 and 339.80 is: 468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.47 : 812.04 = 339.80 : x
  2. Step 2: Convert to fraction form
    588.47/812.04 = 339.80/x
  3. Step 3: Cross multiply
    588.47x = 812.04 × 339.80
  4. Step 4: Simplify right side
    588.47x = 275,931.19
  5. Step 5: Solve for x
    x = 275,931.19/588.47
  6. Step 6: Final answer
    x = 468.90

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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.