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Finding the Fourth Proportional to 525.50, 788.04 and 308.82

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Solution

The fourth proportional to 525.50, 788.04 and 308.82 is: 463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.50 : 788.04 = 308.82 : x
  2. Step 2: Convert to fraction form
    525.50/788.04 = 308.82/x
  3. Step 3: Cross multiply
    525.50x = 788.04 × 308.82
  4. Step 4: Simplify right side
    525.50x = 243,362.51
  5. Step 5: Solve for x
    x = 243,362.51/525.50
  6. Step 6: Final answer
    x = 463.11

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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.