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Finding the Fourth Proportional to 593.40, 817.20 and 446.40

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Solution

The fourth proportional to 593.40, 817.20 and 446.40 is: 614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.40 : 817.20 = 446.40 : x
  2. Step 2: Convert to fraction form
    593.40/817.20 = 446.40/x
  3. Step 3: Cross multiply
    593.40x = 817.20 × 446.40
  4. Step 4: Simplify right side
    593.40x = 364,798.08
  5. Step 5: Solve for x
    x = 364,798.08/593.40
  6. Step 6: Final answer
    x = 614.76

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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.