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Finding the Fourth Proportional to 471.10, 706.74 and 278.50

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Solution

The fourth proportional to 471.10, 706.74 and 278.50 is: 417.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.10 : 706.74 = 278.50 : x
  2. Step 2: Convert to fraction form
    471.10/706.74 = 278.50/x
  3. Step 3: Cross multiply
    471.10x = 706.74 × 278.50
  4. Step 4: Simplify right side
    471.10x = 196,827.09
  5. Step 5: Solve for x
    x = 196,827.09/471.10
  6. Step 6: Final answer
    x = 417.80

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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.