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Finding the Fourth Proportional to 586.84, 880.02 and 298.12

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Solution

The fourth proportional to 586.84, 880.02 and 298.12 is: 447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.84 : 880.02 = 298.12 : x
  2. Step 2: Convert to fraction form
    586.84/880.02 = 298.12/x
  3. Step 3: Cross multiply
    586.84x = 880.02 × 298.12
  4. Step 4: Simplify right side
    586.84x = 262,351.56
  5. Step 5: Solve for x
    x = 262,351.56/586.84
  6. Step 6: Final answer
    x = 447.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.