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Finding the Fourth Proportional to 593.84, 891.40 and 409.48

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Solution

The fourth proportional to 593.84, 891.40 and 409.48 is: 614.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.84 : 891.40 = 409.48 : x
  2. Step 2: Convert to fraction form
    593.84/891.40 = 409.48/x
  3. Step 3: Cross multiply
    593.84x = 891.40 × 409.48
  4. Step 4: Simplify right side
    593.84x = 365,010.47
  5. Step 5: Solve for x
    x = 365,010.47/593.84
  6. Step 6: Final answer
    x = 614.66

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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.