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Finding the Fourth Proportional to 532.16, 797.23 and 446.05

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Solution

The fourth proportional to 532.16, 797.23 and 446.05 is: 668.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.16 : 797.23 = 446.05 : x
  2. Step 2: Convert to fraction form
    532.16/797.23 = 446.05/x
  3. Step 3: Cross multiply
    532.16x = 797.23 × 446.05
  4. Step 4: Simplify right side
    532.16x = 355,598.23
  5. Step 5: Solve for x
    x = 355,598.23/532.16
  6. Step 6: Final answer
    x = 668.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.