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Finding the Fourth Proportional to 400.45, 552.15 and 295.53

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Solution

The fourth proportional to 400.45, 552.15 and 295.53 is: 407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.45 : 552.15 = 295.53 : x
  2. Step 2: Convert to fraction form
    400.45/552.15 = 295.53/x
  3. Step 3: Cross multiply
    400.45x = 552.15 × 295.53
  4. Step 4: Simplify right side
    400.45x = 163,176.89
  5. Step 5: Solve for x
    x = 163,176.89/400.45
  6. Step 6: Final answer
    x = 407.48

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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.