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Finding the Fourth Proportional to 525.52, 788.46 and 309.16

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Solution

The fourth proportional to 525.52, 788.46 and 309.16 is: 463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.52 : 788.46 = 309.16 : x
  2. Step 2: Convert to fraction form
    525.52/788.46 = 309.16/x
  3. Step 3: Cross multiply
    525.52x = 788.46 × 309.16
  4. Step 4: Simplify right side
    525.52x = 243,760.29
  5. Step 5: Solve for x
    x = 243,760.29/525.52
  6. Step 6: Final answer
    x = 463.85

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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.