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Finding the Fourth Proportional to 352.06, 525.62 and 317.50

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Solution

The fourth proportional to 352.06, 525.62 and 317.50 is: 474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.06 : 525.62 = 317.50 : x
  2. Step 2: Convert to fraction form
    352.06/525.62 = 317.50/x
  3. Step 3: Cross multiply
    352.06x = 525.62 × 317.50
  4. Step 4: Simplify right side
    352.06x = 166,884.35
  5. Step 5: Solve for x
    x = 166,884.35/352.06
  6. Step 6: Final answer
    x = 474.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.