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Finding the Fourth Proportional to 592.20, 816.44 and 510.18

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Solution

The fourth proportional to 592.20, 816.44 and 510.18 is: 703.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.20 : 816.44 = 510.18 : x
  2. Step 2: Convert to fraction form
    592.20/816.44 = 510.18/x
  3. Step 3: Cross multiply
    592.20x = 816.44 × 510.18
  4. Step 4: Simplify right side
    592.20x = 416,531.36
  5. Step 5: Solve for x
    x = 416,531.36/592.20
  6. Step 6: Final answer
    x = 703.36

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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.