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Finding the Fourth Proportional to 592.13, 816.36 and 510.12

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Solution

The fourth proportional to 592.13, 816.36 and 510.12 is: 703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.13 : 816.36 = 510.12 : x
  2. Step 2: Convert to fraction form
    592.13/816.36 = 510.12/x
  3. Step 3: Cross multiply
    592.13x = 816.36 × 510.12
  4. Step 4: Simplify right side
    592.13x = 416,439.65
  5. Step 5: Solve for x
    x = 416,439.65/592.13
  6. Step 6: Final answer
    x = 703.29

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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.