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Finding the Fourth Proportional to 510.64, 704.76 and 386.10

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Solution

The fourth proportional to 510.64, 704.76 and 386.10 is: 532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.64 : 704.76 = 386.10 : x
  2. Step 2: Convert to fraction form
    510.64/704.76 = 386.10/x
  3. Step 3: Cross multiply
    510.64x = 704.76 × 386.10
  4. Step 4: Simplify right side
    510.64x = 272,107.84
  5. Step 5: Solve for x
    x = 272,107.84/510.64
  6. Step 6: Final answer
    x = 532.88

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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.