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Finding the Fourth Proportional to 593.75, 818.27 and 427.68

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Solution

The fourth proportional to 593.75, 818.27 and 427.68 is: 589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.75 : 818.27 = 427.68 : x
  2. Step 2: Convert to fraction form
    593.75/818.27 = 427.68/x
  3. Step 3: Cross multiply
    593.75x = 818.27 × 427.68
  4. Step 4: Simplify right side
    593.75x = 349,957.71
  5. Step 5: Solve for x
    x = 349,957.71/593.75
  6. Step 6: Final answer
    x = 589.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.