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Finding the Fourth Proportional to 350.50, 525.31 and 307.06

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Solution

The fourth proportional to 350.50, 525.31 and 307.06 is: 460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.50 : 525.31 = 307.06 : x
  2. Step 2: Convert to fraction form
    350.50/525.31 = 307.06/x
  3. Step 3: Cross multiply
    350.50x = 525.31 × 307.06
  4. Step 4: Simplify right side
    350.50x = 161,300.92
  5. Step 5: Solve for x
    x = 161,300.92/350.50
  6. Step 6: Final answer
    x = 460.20

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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.