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Finding the Fourth Proportional to 584.84, 807.07 and 336.14

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Solution

The fourth proportional to 584.84, 807.07 and 336.14 is: 463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.84 : 807.07 = 336.14 : x
  2. Step 2: Convert to fraction form
    584.84/807.07 = 336.14/x
  3. Step 3: Cross multiply
    584.84x = 807.07 × 336.14
  4. Step 4: Simplify right side
    584.84x = 271,289.35
  5. Step 5: Solve for x
    x = 271,289.35/584.84
  6. Step 6: Final answer
    x = 463.87

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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.