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Finding the Fourth Proportional to 467.39, 703.82 and 346.51

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Solution

The fourth proportional to 467.39, 703.82 and 346.51 is: 521.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.39 : 703.82 = 346.51 : x
  2. Step 2: Convert to fraction form
    467.39/703.82 = 346.51/x
  3. Step 3: Cross multiply
    467.39x = 703.82 × 346.51
  4. Step 4: Simplify right side
    467.39x = 243,880.67
  5. Step 5: Solve for x
    x = 243,880.67/467.39
  6. Step 6: Final answer
    x = 521.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.