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Finding the Fourth Proportional to 589.28, 811.62 and 510.30

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Solution

The fourth proportional to 589.28, 811.62 and 510.30 is: 702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.28 : 811.62 = 510.30 : x
  2. Step 2: Convert to fraction form
    589.28/811.62 = 510.30/x
  3. Step 3: Cross multiply
    589.28x = 811.62 × 510.30
  4. Step 4: Simplify right side
    589.28x = 414,169.69
  5. Step 5: Solve for x
    x = 414,169.69/589.28
  6. Step 6: Final answer
    x = 702.85

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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.