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Finding the Fourth Proportional to 677.90, 934.86 and 467.74

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Solution

The fourth proportional to 677.90, 934.86 and 467.74 is: 645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.90 : 934.86 = 467.74 : x
  2. Step 2: Convert to fraction form
    677.90/934.86 = 467.74/x
  3. Step 3: Cross multiply
    677.90x = 934.86 × 467.74
  4. Step 4: Simplify right side
    677.90x = 437,271.42
  5. Step 5: Solve for x
    x = 437,271.42/677.90
  6. Step 6: Final answer
    x = 645.04

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