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Finding the Fourth Proportional to 400.42, 597.71 and 370.35

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Solution

The fourth proportional to 400.42, 597.71 and 370.35 is: 552.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.42 : 597.71 = 370.35 : x
  2. Step 2: Convert to fraction form
    400.42/597.71 = 370.35/x
  3. Step 3: Cross multiply
    400.42x = 597.71 × 370.35
  4. Step 4: Simplify right side
    400.42x = 221,361.90
  5. Step 5: Solve for x
    x = 221,361.90/400.42
  6. Step 6: Final answer
    x = 552.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.