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Finding the Fourth Proportional to 469.76, 703.96 and 418.52

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Solution

The fourth proportional to 469.76, 703.96 and 418.52 is: 627.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.76 : 703.96 = 418.52 : x
  2. Step 2: Convert to fraction form
    469.76/703.96 = 418.52/x
  3. Step 3: Cross multiply
    469.76x = 703.96 × 418.52
  4. Step 4: Simplify right side
    469.76x = 294,621.34
  5. Step 5: Solve for x
    x = 294,621.34/469.76
  6. Step 6: Final answer
    x = 627.17

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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.