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Finding the Fourth Proportional to 580.27, 798.76 and 506.47

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Solution

The fourth proportional to 580.27, 798.76 and 506.47 is: 697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.27 : 798.76 = 506.47 : x
  2. Step 2: Convert to fraction form
    580.27/798.76 = 506.47/x
  3. Step 3: Cross multiply
    580.27x = 798.76 × 506.47
  4. Step 4: Simplify right side
    580.27x = 404,547.98
  5. Step 5: Solve for x
    x = 404,547.98/580.27
  6. Step 6: Final answer
    x = 697.17

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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.