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Finding the Fourth Proportional to 292.68, 403.65 and 288.63

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Solution

The fourth proportional to 292.68, 403.65 and 288.63 is: 398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.68 : 403.65 = 288.63 : x
  2. Step 2: Convert to fraction form
    292.68/403.65 = 288.63/x
  3. Step 3: Cross multiply
    292.68x = 403.65 × 288.63
  4. Step 4: Simplify right side
    292.68x = 116,505.50
  5. Step 5: Solve for x
    x = 116,505.50/292.68
  6. Step 6: Final answer
    x = 398.06

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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.