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Finding the Fourth Proportional to 716.65, 989.18 and 422.08

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Solution

The fourth proportional to 716.65, 989.18 and 422.08 is: 582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.65 : 989.18 = 422.08 : x
  2. Step 2: Convert to fraction form
    716.65/989.18 = 422.08/x
  3. Step 3: Cross multiply
    716.65x = 989.18 × 422.08
  4. Step 4: Simplify right side
    716.65x = 417,516.16
  5. Step 5: Solve for x
    x = 417,516.16/716.65
  6. Step 6: Final answer
    x = 582.60

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Why These Related Problems?

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