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Finding the Fourth Proportional to 467.59, 645 and 292.63

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Solution

The fourth proportional to 467.59, 645 and 292.63 is: 403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.59 : 645 = 292.63 : x
  2. Step 2: Convert to fraction form
    467.59/645 = 292.63/x
  3. Step 3: Cross multiply
    467.59x = 645 × 292.63
  4. Step 4: Simplify right side
    467.59x = 188,746.35
  5. Step 5: Solve for x
    x = 188,746.35/467.59
  6. Step 6: Final answer
    x = 403.66

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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.