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Finding the Fourth Proportional to 345.37, 476.82 and 240.64

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Solution

The fourth proportional to 345.37, 476.82 and 240.64 is: 332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.37 : 476.82 = 240.64 : x
  2. Step 2: Convert to fraction form
    345.37/476.82 = 240.64/x
  3. Step 3: Cross multiply
    345.37x = 476.82 × 240.64
  4. Step 4: Simplify right side
    345.37x = 114,741.96
  5. Step 5: Solve for x
    x = 114,741.96/345.37
  6. Step 6: Final answer
    x = 332.23

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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.