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Finding the Fourth Proportional to 593.32, 889.98 and 457.24

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Solution

The fourth proportional to 593.32, 889.98 and 457.24 is: 685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.32 : 889.98 = 457.24 : x
  2. Step 2: Convert to fraction form
    593.32/889.98 = 457.24/x
  3. Step 3: Cross multiply
    593.32x = 889.98 × 457.24
  4. Step 4: Simplify right side
    593.32x = 406,934.46
  5. Step 5: Solve for x
    x = 406,934.46/593.32
  6. Step 6: Final answer
    x = 685.86

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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.