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Finding the Fourth Proportional to 677.43, 934.35 and 467.67

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Solution

The fourth proportional to 677.43, 934.35 and 467.67 is: 645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.43 : 934.35 = 467.67 : x
  2. Step 2: Convert to fraction form
    677.43/934.35 = 467.67/x
  3. Step 3: Cross multiply
    677.43x = 934.35 × 467.67
  4. Step 4: Simplify right side
    677.43x = 436,967.46
  5. Step 5: Solve for x
    x = 436,967.46/677.43
  6. Step 6: Final answer
    x = 645.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.