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Finding the Fourth Proportional to 593.91, 894.15 and 542.88

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Solution

The fourth proportional to 593.91, 894.15 and 542.88 is: 817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.91 : 894.15 = 542.88 : x
  2. Step 2: Convert to fraction form
    593.91/894.15 = 542.88/x
  3. Step 3: Cross multiply
    593.91x = 894.15 × 542.88
  4. Step 4: Simplify right side
    593.91x = 485,416.15
  5. Step 5: Solve for x
    x = 485,416.15/593.91
  6. Step 6: Final answer
    x = 817.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.