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Finding the Fourth Proportional to 620.90, 928.58 and 465.11

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Solution

The fourth proportional to 620.90, 928.58 and 465.11 is: 695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.90 : 928.58 = 465.11 : x
  2. Step 2: Convert to fraction form
    620.90/928.58 = 465.11/x
  3. Step 3: Cross multiply
    620.90x = 928.58 × 465.11
  4. Step 4: Simplify right side
    620.90x = 431,884.88
  5. Step 5: Solve for x
    x = 431,884.88/620.90
  6. Step 6: Final answer
    x = 695.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.