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Finding the Fourth Proportional to 510.69, 704.71 and 286.58

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Solution

The fourth proportional to 510.69, 704.71 and 286.58 is: 395.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.69 : 704.71 = 286.58 : x
  2. Step 2: Convert to fraction form
    510.69/704.71 = 286.58/x
  3. Step 3: Cross multiply
    510.69x = 704.71 × 286.58
  4. Step 4: Simplify right side
    510.69x = 201,955.79
  5. Step 5: Solve for x
    x = 201,955.79/510.69
  6. Step 6: Final answer
    x = 395.46

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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.