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Finding the Fourth Proportional to 475.23, 711.12 and 411

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Solution

The fourth proportional to 475.23, 711.12 and 411 is: 615.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.23 : 711.12 = 411 : x
  2. Step 2: Convert to fraction form
    475.23/711.12 = 411/x
  3. Step 3: Cross multiply
    475.23x = 711.12 × 411
  4. Step 4: Simplify right side
    475.23x = 292,270.32
  5. Step 5: Solve for x
    x = 292,270.32/475.23
  6. Step 6: Final answer
    x = 615.01

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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.