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Finding the Fourth Proportional to 532.77, 734.86 and 322.80

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Solution

The fourth proportional to 532.77, 734.86 and 322.80 is: 445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.77 : 734.86 = 322.80 : x
  2. Step 2: Convert to fraction form
    532.77/734.86 = 322.80/x
  3. Step 3: Cross multiply
    532.77x = 734.86 × 322.80
  4. Step 4: Simplify right side
    532.77x = 237,212.81
  5. Step 5: Solve for x
    x = 237,212.81/532.77
  6. Step 6: Final answer
    x = 445.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.