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Finding the Fourth Proportional to 432.90, 596.78 and 267.00

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Solution

The fourth proportional to 432.90, 596.78 and 267.00 is: 368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.90 : 596.78 = 267.00 : x
  2. Step 2: Convert to fraction form
    432.90/596.78 = 267.00/x
  3. Step 3: Cross multiply
    432.90x = 596.78 × 267.00
  4. Step 4: Simplify right side
    432.90x = 159,342.55
  5. Step 5: Solve for x
    x = 159,342.55/432.90
  6. Step 6: Final answer
    x = 368.08

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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.