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Finding the Fourth Proportional to 532.58, 735.02 and 322.86

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Solution

The fourth proportional to 532.58, 735.02 and 322.86 is: 445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.58 : 735.02 = 322.86 : x
  2. Step 2: Convert to fraction form
    532.58/735.02 = 322.86/x
  3. Step 3: Cross multiply
    532.58x = 735.02 × 322.86
  4. Step 4: Simplify right side
    532.58x = 237,308.56
  5. Step 5: Solve for x
    x = 237,308.56/532.58
  6. Step 6: Final answer
    x = 445.58

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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.