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Finding the Fourth Proportional to 345.40, 476.04 and 262.32

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Solution

The fourth proportional to 345.40, 476.04 and 262.32 is: 361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.40 : 476.04 = 262.32 : x
  2. Step 2: Convert to fraction form
    345.40/476.04 = 262.32/x
  3. Step 3: Cross multiply
    345.40x = 476.04 × 262.32
  4. Step 4: Simplify right side
    345.40x = 124,874.81
  5. Step 5: Solve for x
    x = 124,874.81/345.40
  6. Step 6: Final answer
    x = 361.54

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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.