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Finding the Fourth Proportional to 593.24, 889.63 and 410.08

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Solution

The fourth proportional to 593.24, 889.63 and 410.08 is: 614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.24 : 889.63 = 410.08 : x
  2. Step 2: Convert to fraction form
    593.24/889.63 = 410.08/x
  3. Step 3: Cross multiply
    593.24x = 889.63 × 410.08
  4. Step 4: Simplify right side
    593.24x = 364,814.55
  5. Step 5: Solve for x
    x = 364,814.55/593.24
  6. Step 6: Final answer
    x = 614.96

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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.