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Finding the Fourth Proportional to 317.12, 474.76 and 277.02

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Solution

The fourth proportional to 317.12, 474.76 and 277.02 is: 414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.12 : 474.76 = 277.02 : x
  2. Step 2: Convert to fraction form
    317.12/474.76 = 277.02/x
  3. Step 3: Cross multiply
    317.12x = 474.76 × 277.02
  4. Step 4: Simplify right side
    317.12x = 131,518.36
  5. Step 5: Solve for x
    x = 131,518.36/317.12
  6. Step 6: Final answer
    x = 414.73

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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.