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Finding the Fourth Proportional to 402.16, 602.16 and 310.12

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Solution

The fourth proportional to 402.16, 602.16 and 310.12 is: 464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.16 : 602.16 = 310.12 : x
  2. Step 2: Convert to fraction form
    402.16/602.16 = 310.12/x
  3. Step 3: Cross multiply
    402.16x = 602.16 × 310.12
  4. Step 4: Simplify right side
    402.16x = 186,741.86
  5. Step 5: Solve for x
    x = 186,741.86/402.16
  6. Step 6: Final answer
    x = 464.35

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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.