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Finding the Fourth Proportional to 495.51, 682.60 and 424.41

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Solution

The fourth proportional to 495.51, 682.60 and 424.41 is: 584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.51 : 682.60 = 424.41 : x
  2. Step 2: Convert to fraction form
    495.51/682.60 = 424.41/x
  3. Step 3: Cross multiply
    495.51x = 682.60 × 424.41
  4. Step 4: Simplify right side
    495.51x = 289,700.14
  5. Step 5: Solve for x
    x = 289,700.14/495.51
  6. Step 6: Final answer
    x = 584.65

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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.