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Finding the Fourth Proportional to 400.16, 552.06 and 313.10

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Solution

The fourth proportional to 400.16, 552.06 and 313.10 is: 431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.16 : 552.06 = 313.10 : x
  2. Step 2: Convert to fraction form
    400.16/552.06 = 313.10/x
  3. Step 3: Cross multiply
    400.16x = 552.06 × 313.10
  4. Step 4: Simplify right side
    400.16x = 172,849.99
  5. Step 5: Solve for x
    x = 172,849.99/400.16
  6. Step 6: Final answer
    x = 431.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.