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Finding the Fourth Proportional to 593.64, 890.52 and 364.00

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Solution

The fourth proportional to 593.64, 890.52 and 364.00 is: 546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.64 : 890.52 = 364.00 : x
  2. Step 2: Convert to fraction form
    593.64/890.52 = 364.00/x
  3. Step 3: Cross multiply
    593.64x = 890.52 × 364.00
  4. Step 4: Simplify right side
    593.64x = 324,152.42
  5. Step 5: Solve for x
    x = 324,152.42/593.64
  6. Step 6: Final answer
    x = 546.04

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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.