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Finding the Fourth Proportional to 314.00, 471.03 and 277.77

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Solution

The fourth proportional to 314.00, 471.03 and 277.77 is: 416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.00 : 471.03 = 277.77 : x
  2. Step 2: Convert to fraction form
    314.00/471.03 = 277.77/x
  3. Step 3: Cross multiply
    314.00x = 471.03 × 277.77
  4. Step 4: Simplify right side
    314.00x = 130,836.61
  5. Step 5: Solve for x
    x = 130,836.61/314.00
  6. Step 6: Final answer
    x = 416.68

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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.