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Finding the Fourth Proportional to 345.84, 476.16 and 313.44

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Solution

The fourth proportional to 345.84, 476.16 and 313.44 is: 431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.84 : 476.16 = 313.44 : x
  2. Step 2: Convert to fraction form
    345.84/476.16 = 313.44/x
  3. Step 3: Cross multiply
    345.84x = 476.16 × 313.44
  4. Step 4: Simplify right side
    345.84x = 149,247.59
  5. Step 5: Solve for x
    x = 149,247.59/345.84
  6. Step 6: Final answer
    x = 431.55

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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.