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Finding the Fourth Proportional to 433.68, 598.36 and 265.60

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Solution

The fourth proportional to 433.68, 598.36 and 265.60 is: 366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.68 : 598.36 = 265.60 : x
  2. Step 2: Convert to fraction form
    433.68/598.36 = 265.60/x
  3. Step 3: Cross multiply
    433.68x = 598.36 × 265.60
  4. Step 4: Simplify right side
    433.68x = 158,924.42
  5. Step 5: Solve for x
    x = 158,924.42/433.68
  6. Step 6: Final answer
    x = 366.46

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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.