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Finding the Fourth Proportional to 495.65, 682.53 and 391.16

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Solution

The fourth proportional to 495.65, 682.53 and 391.16 is: 538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.65 : 682.53 = 391.16 : x
  2. Step 2: Convert to fraction form
    495.65/682.53 = 391.16/x
  3. Step 3: Cross multiply
    495.65x = 682.53 × 391.16
  4. Step 4: Simplify right side
    495.65x = 266,978.67
  5. Step 5: Solve for x
    x = 266,978.67/495.65
  6. Step 6: Final answer
    x = 538.64

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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.