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Finding the Fourth Proportional to 621.60, 931.72 and 312.84

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Solution

The fourth proportional to 621.60, 931.72 and 312.84 is: 468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.60 : 931.72 = 312.84 : x
  2. Step 2: Convert to fraction form
    621.60/931.72 = 312.84/x
  3. Step 3: Cross multiply
    621.60x = 931.72 × 312.84
  4. Step 4: Simplify right side
    621.60x = 291,479.28
  5. Step 5: Solve for x
    x = 291,479.28/621.60
  6. Step 6: Final answer
    x = 468.92

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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.