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Finding the Fourth Proportional to 350.60, 525.29 and 312.93

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Solution

The fourth proportional to 350.60, 525.29 and 312.93 is: 468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.60 : 525.29 = 312.93 : x
  2. Step 2: Convert to fraction form
    350.60/525.29 = 312.93/x
  3. Step 3: Cross multiply
    350.60x = 525.29 × 312.93
  4. Step 4: Simplify right side
    350.60x = 164,377.44
  5. Step 5: Solve for x
    x = 164,377.44/350.60
  6. Step 6: Final answer
    x = 468.85

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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.