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Finding the Fourth Proportional to 532.77, 736.14 and 423.21

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Solution

The fourth proportional to 532.77, 736.14 and 423.21 is: 584.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.77 : 736.14 = 423.21 : x
  2. Step 2: Convert to fraction form
    532.77/736.14 = 423.21/x
  3. Step 3: Cross multiply
    532.77x = 736.14 × 423.21
  4. Step 4: Simplify right side
    532.77x = 311,541.81
  5. Step 5: Solve for x
    x = 311,541.81/532.77
  6. Step 6: Final answer
    x = 584.76

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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.