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Finding the Fourth Proportional to 612.95, 920.49 and 477.18

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Solution

The fourth proportional to 612.95, 920.49 and 477.18 is: 716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.95 : 920.49 = 477.18 : x
  2. Step 2: Convert to fraction form
    612.95/920.49 = 477.18/x
  3. Step 3: Cross multiply
    612.95x = 920.49 × 477.18
  4. Step 4: Simplify right side
    612.95x = 439,239.42
  5. Step 5: Solve for x
    x = 439,239.42/612.95
  6. Step 6: Final answer
    x = 716.60

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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.