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Finding the Fourth Proportional to 593.64, 888.24 and 533.76

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Solution

The fourth proportional to 593.64, 888.24 and 533.76 is: 798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.64 : 888.24 = 533.76 : x
  2. Step 2: Convert to fraction form
    593.64/888.24 = 533.76/x
  3. Step 3: Cross multiply
    593.64x = 888.24 × 533.76
  4. Step 4: Simplify right side
    593.64x = 474,106.98
  5. Step 5: Solve for x
    x = 474,106.98/593.64
  6. Step 6: Final answer
    x = 798.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.