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Finding the Fourth Proportional to 621.12, 931.52 and 312.64

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Solution

The fourth proportional to 621.12, 931.52 and 312.64 is: 468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.12 : 931.52 = 312.64 : x
  2. Step 2: Convert to fraction form
    621.12/931.52 = 312.64/x
  3. Step 3: Cross multiply
    621.12x = 931.52 × 312.64
  4. Step 4: Simplify right side
    621.12x = 291,230.41
  5. Step 5: Solve for x
    x = 291,230.41/621.12
  6. Step 6: Final answer
    x = 468.88

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Why These Related Problems?

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