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Finding the Fourth Proportional to 593.29, 893.13 and 533.75

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Solution

The fourth proportional to 593.29, 893.13 and 533.75 is: 803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.29 : 893.13 = 533.75 : x
  2. Step 2: Convert to fraction form
    593.29/893.13 = 533.75/x
  3. Step 3: Cross multiply
    593.29x = 893.13 × 533.75
  4. Step 4: Simplify right side
    593.29x = 476,708.14
  5. Step 5: Solve for x
    x = 476,708.14/593.29
  6. Step 6: Final answer
    x = 803.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.