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Finding the Fourth Proportional to 292.80, 403.68 and 287.52

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Solution

The fourth proportional to 292.80, 403.68 and 287.52 is: 396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.80 : 403.68 = 287.52 : x
  2. Step 2: Convert to fraction form
    292.80/403.68 = 287.52/x
  3. Step 3: Cross multiply
    292.80x = 403.68 × 287.52
  4. Step 4: Simplify right side
    292.80x = 116,066.07
  5. Step 5: Solve for x
    x = 116,066.07/292.80
  6. Step 6: Final answer
    x = 396.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.