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Finding the Fourth Proportional to 330.96, 496.62 and 312.72

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Solution

The fourth proportional to 330.96, 496.62 and 312.72 is: 469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.96 : 496.62 = 312.72 : x
  2. Step 2: Convert to fraction form
    330.96/496.62 = 312.72/x
  3. Step 3: Cross multiply
    330.96x = 496.62 × 312.72
  4. Step 4: Simplify right side
    330.96x = 155,303.01
  5. Step 5: Solve for x
    x = 155,303.01/330.96
  6. Step 6: Final answer
    x = 469.25

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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.