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Finding the Fourth Proportional to 532.16, 734.57 and 322.34

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Solution

The fourth proportional to 532.16, 734.57 and 322.34 is: 444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.16 : 734.57 = 322.34 : x
  2. Step 2: Convert to fraction form
    532.16/734.57 = 322.34/x
  3. Step 3: Cross multiply
    532.16x = 734.57 × 322.34
  4. Step 4: Simplify right side
    532.16x = 236,779.27
  5. Step 5: Solve for x
    x = 236,779.27/532.16
  6. Step 6: Final answer
    x = 444.94

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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.