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Finding the Fourth Proportional to 451.71, 677.79 and 307.14

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Solution

The fourth proportional to 451.71, 677.79 and 307.14 is: 460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.71 : 677.79 = 307.14 : x
  2. Step 2: Convert to fraction form
    451.71/677.79 = 307.14/x
  3. Step 3: Cross multiply
    451.71x = 677.79 × 307.14
  4. Step 4: Simplify right side
    451.71x = 208,176.42
  5. Step 5: Solve for x
    x = 208,176.42/451.71
  6. Step 6: Final answer
    x = 460.86

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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.