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Finding the Fourth Proportional to 407.84, 608.31 and 346.28

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Solution

The fourth proportional to 407.84, 608.31 and 346.28 is: 516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.84 : 608.31 = 346.28 : x
  2. Step 2: Convert to fraction form
    407.84/608.31 = 346.28/x
  3. Step 3: Cross multiply
    407.84x = 608.31 × 346.28
  4. Step 4: Simplify right side
    407.84x = 210,642.55
  5. Step 5: Solve for x
    x = 210,642.55/407.84
  6. Step 6: Final answer
    x = 516.49

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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.