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Finding the Fourth Proportional to 525.13, 787.85 and 308.59

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Solution

The fourth proportional to 525.13, 787.85 and 308.59 is: 462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.13 : 787.85 = 308.59 : x
  2. Step 2: Convert to fraction form
    525.13/787.85 = 308.59/x
  3. Step 3: Cross multiply
    525.13x = 787.85 × 308.59
  4. Step 4: Simplify right side
    525.13x = 243,122.63
  5. Step 5: Solve for x
    x = 243,122.63/525.13
  6. Step 6: Final answer
    x = 462.98

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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.