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Finding the Fourth Proportional to 357.58, 535.62 and 332.26

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Solution

The fourth proportional to 357.58, 535.62 and 332.26 is: 497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.58 : 535.62 = 332.26 : x
  2. Step 2: Convert to fraction form
    357.58/535.62 = 332.26/x
  3. Step 3: Cross multiply
    357.58x = 535.62 × 332.26
  4. Step 4: Simplify right side
    357.58x = 177,965.10
  5. Step 5: Solve for x
    x = 177,965.10/357.58
  6. Step 6: Final answer
    x = 497.69

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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.