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Finding the Fourth Proportional to 475.49, 709.85 and 414

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Solution

The fourth proportional to 475.49, 709.85 and 414 is: 618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.49 : 709.85 = 414 : x
  2. Step 2: Convert to fraction form
    475.49/709.85 = 414/x
  3. Step 3: Cross multiply
    475.49x = 709.85 × 414
  4. Step 4: Simplify right side
    475.49x = 293,878.94
  5. Step 5: Solve for x
    x = 293,878.94/475.49
  6. Step 6: Final answer
    x = 618.05

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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.