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Finding the Fourth Proportional to 593.40, 884.88 and 546.12

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Solution

The fourth proportional to 593.40, 884.88 and 546.12 is: 814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.40 : 884.88 = 546.12 : x
  2. Step 2: Convert to fraction form
    593.40/884.88 = 546.12/x
  3. Step 3: Cross multiply
    593.40x = 884.88 × 546.12
  4. Step 4: Simplify right side
    593.40x = 483,250.67
  5. Step 5: Solve for x
    x = 483,250.67/593.40
  6. Step 6: Final answer
    x = 814.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.