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Finding the Fourth Proportional to 525.46, 788.31 and 264.81

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Solution

The fourth proportional to 525.46, 788.31 and 264.81 is: 397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.46 : 788.31 = 264.81 : x
  2. Step 2: Convert to fraction form
    525.46/788.31 = 264.81/x
  3. Step 3: Cross multiply
    525.46x = 788.31 × 264.81
  4. Step 4: Simplify right side
    525.46x = 208,752.37
  5. Step 5: Solve for x
    x = 208,752.37/525.46
  6. Step 6: Final answer
    x = 397.28

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Why These Related Problems?

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