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Finding the Fourth Proportional to 593.40, 816.84 and 510.33

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Solution

The fourth proportional to 593.40, 816.84 and 510.33 is: 702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.40 : 816.84 = 510.33 : x
  2. Step 2: Convert to fraction form
    593.40/816.84 = 510.33/x
  3. Step 3: Cross multiply
    593.40x = 816.84 × 510.33
  4. Step 4: Simplify right side
    593.40x = 416,857.96
  5. Step 5: Solve for x
    x = 416,857.96/593.40
  6. Step 6: Final answer
    x = 702.49

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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.