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Finding the Fourth Proportional to 586.99, 880.29 and 216.71

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Solution

The fourth proportional to 586.99, 880.29 and 216.71 is: 324.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.99 : 880.29 = 216.71 : x
  2. Step 2: Convert to fraction form
    586.99/880.29 = 216.71/x
  3. Step 3: Cross multiply
    586.99x = 880.29 × 216.71
  4. Step 4: Simplify right side
    586.99x = 190,767.65
  5. Step 5: Solve for x
    x = 190,767.65/586.99
  6. Step 6: Final answer
    x = 324.99

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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.