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Finding the Fourth Proportional to 593.46, 887.95 and 411.21

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Solution

The fourth proportional to 593.46, 887.95 and 411.21 is: 615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.46 : 887.95 = 411.21 : x
  2. Step 2: Convert to fraction form
    593.46/887.95 = 411.21/x
  3. Step 3: Cross multiply
    593.46x = 887.95 × 411.21
  4. Step 4: Simplify right side
    593.46x = 365,133.92
  5. Step 5: Solve for x
    x = 365,133.92/593.46
  6. Step 6: Final answer
    x = 615.26

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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.