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Finding the Fourth Proportional to 598.79, 827.47 and 451.17

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Solution

The fourth proportional to 598.79, 827.47 and 451.17 is: 623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.79 : 827.47 = 451.17 : x
  2. Step 2: Convert to fraction form
    598.79/827.47 = 451.17/x
  3. Step 3: Cross multiply
    598.79x = 827.47 × 451.17
  4. Step 4: Simplify right side
    598.79x = 373,329.64
  5. Step 5: Solve for x
    x = 373,329.64/598.79
  6. Step 6: Final answer
    x = 623.47

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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.