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Finding the Fourth Proportional to 536.76, 741.30 and 432.99

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Solution

The fourth proportional to 536.76, 741.30 and 432.99 is: 597.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.76 : 741.30 = 432.99 : x
  2. Step 2: Convert to fraction form
    536.76/741.30 = 432.99/x
  3. Step 3: Cross multiply
    536.76x = 741.30 × 432.99
  4. Step 4: Simplify right side
    536.76x = 320,975.49
  5. Step 5: Solve for x
    x = 320,975.49/536.76
  6. Step 6: Final answer
    x = 597.99

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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.