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Finding the Fourth Proportional to 466.63, 643.94 and 292.07

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Solution

The fourth proportional to 466.63, 643.94 and 292.07 is: 403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.63 : 643.94 = 292.07 : x
  2. Step 2: Convert to fraction form
    466.63/643.94 = 292.07/x
  3. Step 3: Cross multiply
    466.63x = 643.94 × 292.07
  4. Step 4: Simplify right side
    466.63x = 188,075.56
  5. Step 5: Solve for x
    x = 188,075.56/466.63
  6. Step 6: Final answer
    x = 403.05

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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.