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Finding the Fourth Proportional to 506.07, 697.51 and 386.39

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Solution

The fourth proportional to 506.07, 697.51 and 386.39 is: 532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.07 : 697.51 = 386.39 : x
  2. Step 2: Convert to fraction form
    506.07/697.51 = 386.39/x
  3. Step 3: Cross multiply
    506.07x = 697.51 × 386.39
  4. Step 4: Simplify right side
    506.07x = 269,510.89
  5. Step 5: Solve for x
    x = 269,510.89/506.07
  6. Step 6: Final answer
    x = 532.56

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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.