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Finding the Fourth Proportional to 716.42, 988.58 and 421.65

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Solution

The fourth proportional to 716.42, 988.58 and 421.65 is: 581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.42 : 988.58 = 421.65 : x
  2. Step 2: Convert to fraction form
    716.42/988.58 = 421.65/x
  3. Step 3: Cross multiply
    716.42x = 988.58 × 421.65
  4. Step 4: Simplify right side
    716.42x = 416,832.65
  5. Step 5: Solve for x
    x = 416,832.65/716.42
  6. Step 6: Final answer
    x = 581.83

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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.