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Finding the Fourth Proportional to 467.93, 645.71 and 258.06

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Solution

The fourth proportional to 467.93, 645.71 and 258.06 is: 356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.93 : 645.71 = 258.06 : x
  2. Step 2: Convert to fraction form
    467.93/645.71 = 258.06/x
  3. Step 3: Cross multiply
    467.93x = 645.71 × 258.06
  4. Step 4: Simplify right side
    467.93x = 166,631.92
  5. Step 5: Solve for x
    x = 166,631.92/467.93
  6. Step 6: Final answer
    x = 356.10

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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.